Properties

Label 91.2.bc.a.41.1
Level $91$
Weight $2$
Character 91.41
Analytic conductor $0.727$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.bc (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 41.1
Character \(\chi\) \(=\) 91.41
Dual form 91.2.bc.a.20.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.47996 - 0.664504i) q^{2} +(-2.33506 + 1.34815i) q^{3} +(3.97660 + 2.29589i) q^{4} +(-0.281686 - 0.281686i) q^{5} +(6.68671 - 1.79170i) q^{6} +(-0.201802 - 2.63804i) q^{7} +(-4.70528 - 4.70528i) q^{8} +(2.13500 - 3.69793i) q^{9} +O(q^{10})\) \(q+(-2.47996 - 0.664504i) q^{2} +(-2.33506 + 1.34815i) q^{3} +(3.97660 + 2.29589i) q^{4} +(-0.281686 - 0.281686i) q^{5} +(6.68671 - 1.79170i) q^{6} +(-0.201802 - 2.63804i) q^{7} +(-4.70528 - 4.70528i) q^{8} +(2.13500 - 3.69793i) q^{9} +(0.511390 + 0.885754i) q^{10} +(0.939666 - 3.50688i) q^{11} -12.3808 q^{12} +(3.44571 + 1.06165i) q^{13} +(-1.25253 + 6.67635i) q^{14} +(1.03751 + 0.278000i) q^{15} +(3.95046 + 6.84240i) q^{16} +(2.04856 - 3.54822i) q^{17} +(-7.75202 + 7.75202i) q^{18} +(0.777996 - 0.208463i) q^{19} +(-0.473433 - 1.76688i) q^{20} +(4.02769 + 5.88793i) q^{21} +(-4.66067 + 8.07252i) q^{22} +(-4.41149 + 2.54698i) q^{23} +(17.3305 + 4.64370i) q^{24} -4.84131i q^{25} +(-7.83976 - 4.92254i) q^{26} +3.42430i q^{27} +(5.25418 - 10.9538i) q^{28} +(1.00735 + 1.74478i) q^{29} +(-2.38825 - 1.37886i) q^{30} +(-4.44176 - 4.44176i) q^{31} +(-1.80569 - 6.73893i) q^{32} +(2.53362 + 9.45558i) q^{33} +(-7.43817 + 7.43817i) q^{34} +(-0.686256 + 0.799946i) q^{35} +(16.9801 - 9.80347i) q^{36} +(0.463819 - 1.73100i) q^{37} -2.06793 q^{38} +(-9.47719 + 2.16630i) q^{39} +2.65083i q^{40} +(0.578490 - 2.15895i) q^{41} +(-6.07597 - 17.2783i) q^{42} +(-2.65096 - 1.53053i) q^{43} +(11.7881 - 11.7881i) q^{44} +(-1.64306 + 0.440256i) q^{45} +(12.6328 - 3.38495i) q^{46} +(5.99945 - 5.99945i) q^{47} +(-18.4491 - 10.6516i) q^{48} +(-6.91855 + 1.06472i) q^{49} +(-3.21707 + 12.0063i) q^{50} +11.0471i q^{51} +(11.2648 + 12.1327i) q^{52} +9.09347 q^{53} +(2.27546 - 8.49214i) q^{54} +(-1.25253 + 0.723149i) q^{55} +(-11.4632 + 13.3623i) q^{56} +(-1.53563 + 1.53563i) q^{57} +(-1.33878 - 4.99638i) q^{58} +(1.92316 + 7.17731i) q^{59} +(3.48750 + 3.48750i) q^{60} +(2.40353 + 1.38768i) q^{61} +(8.06384 + 13.9670i) q^{62} +(-10.1862 - 4.88598i) q^{63} +2.11035i q^{64} +(-0.671556 - 1.26966i) q^{65} -25.1331i q^{66} +(-4.85858 - 1.30185i) q^{67} +(16.2926 - 9.40656i) q^{68} +(6.86740 - 11.8947i) q^{69} +(2.23346 - 1.52782i) q^{70} +(-0.582978 - 2.17570i) q^{71} +(-27.4456 + 7.35402i) q^{72} +(-3.50176 + 3.50176i) q^{73} +(-2.30051 + 3.98460i) q^{74} +(6.52679 + 11.3047i) q^{75} +(3.57239 + 0.957219i) q^{76} +(-9.44093 - 1.77118i) q^{77} +(24.9426 + 0.925283i) q^{78} -3.61967 q^{79} +(0.814620 - 3.04020i) q^{80} +(1.78854 + 3.09785i) q^{81} +(-2.86927 + 4.96972i) q^{82} +(5.36774 + 5.36774i) q^{83} +(2.49847 + 32.6611i) q^{84} +(-1.57654 + 0.422432i) q^{85} +(5.55723 + 5.55723i) q^{86} +(-4.70444 - 2.71611i) q^{87} +(-20.9222 + 12.0795i) q^{88} +(-11.5425 - 3.09280i) q^{89} +4.36728 q^{90} +(2.10533 - 9.30417i) q^{91} -23.3903 q^{92} +(16.3599 + 4.38363i) q^{93} +(-18.8651 + 10.8918i) q^{94} +(-0.277872 - 0.160430i) q^{95} +(13.3015 + 13.3015i) q^{96} +(-7.71975 + 2.06850i) q^{97} +(17.8653 + 1.95693i) q^{98} +(-10.9620 - 10.9620i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} + O(q^{10}) \) \( 32q - 8q^{2} - 12q^{4} - 16q^{8} + 8q^{9} - 4q^{11} - 32q^{14} - 8q^{15} + 12q^{16} - 4q^{18} + 16q^{21} + 4q^{22} - 12q^{23} + 24q^{28} + 4q^{29} + 12q^{30} + 4q^{32} - 20q^{35} + 4q^{37} - 36q^{39} - 28q^{42} - 48q^{43} + 24q^{44} + 84q^{46} + 24q^{49} - 44q^{50} + 72q^{53} + 60q^{56} - 92q^{57} - 16q^{58} + 76q^{60} + 48q^{63} + 4q^{65} - 56q^{67} + 56q^{70} + 84q^{71} - 128q^{72} - 24q^{74} + 148q^{78} - 80q^{79} + 28q^{81} - 64q^{84} + 36q^{85} - 48q^{86} - 228q^{88} - 48q^{91} + 24q^{92} + 108q^{93} - 84q^{95} - 32q^{98} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.47996 0.664504i −1.75360 0.469875i −0.768211 0.640197i \(-0.778853\pi\)
−0.985388 + 0.170322i \(0.945519\pi\)
\(3\) −2.33506 + 1.34815i −1.34815 + 0.778353i −0.987987 0.154537i \(-0.950611\pi\)
−0.360160 + 0.932890i \(0.617278\pi\)
\(4\) 3.97660 + 2.29589i 1.98830 + 1.14795i
\(5\) −0.281686 0.281686i −0.125974 0.125974i 0.641309 0.767283i \(-0.278392\pi\)
−0.767283 + 0.641309i \(0.778392\pi\)
\(6\) 6.68671 1.79170i 2.72984 0.731458i
\(7\) −0.201802 2.63804i −0.0762740 0.997087i
\(8\) −4.70528 4.70528i −1.66357 1.66357i
\(9\) 2.13500 3.69793i 0.711667 1.23264i
\(10\) 0.511390 + 0.885754i 0.161716 + 0.280100i
\(11\) 0.939666 3.50688i 0.283320 1.05736i −0.666738 0.745292i \(-0.732310\pi\)
0.950058 0.312072i \(-0.101023\pi\)
\(12\) −12.3808 −3.57403
\(13\) 3.44571 + 1.06165i 0.955667 + 0.294449i
\(14\) −1.25253 + 6.67635i −0.334753 + 1.78433i
\(15\) 1.03751 + 0.278000i 0.267884 + 0.0717792i
\(16\) 3.95046 + 6.84240i 0.987615 + 1.71060i
\(17\) 2.04856 3.54822i 0.496850 0.860569i −0.503144 0.864203i \(-0.667823\pi\)
0.999993 + 0.00363405i \(0.00115676\pi\)
\(18\) −7.75202 + 7.75202i −1.82717 + 1.82717i
\(19\) 0.777996 0.208463i 0.178484 0.0478248i −0.168470 0.985707i \(-0.553883\pi\)
0.346954 + 0.937882i \(0.387216\pi\)
\(20\) −0.473433 1.76688i −0.105863 0.395086i
\(21\) 4.02769 + 5.88793i 0.878914 + 1.28485i
\(22\) −4.66067 + 8.07252i −0.993659 + 1.72107i
\(23\) −4.41149 + 2.54698i −0.919860 + 0.531081i −0.883590 0.468261i \(-0.844881\pi\)
−0.0362693 + 0.999342i \(0.511547\pi\)
\(24\) 17.3305 + 4.64370i 3.53758 + 0.947891i
\(25\) 4.84131i 0.968261i
\(26\) −7.83976 4.92254i −1.53750 0.965390i
\(27\) 3.42430i 0.659007i
\(28\) 5.25418 10.9538i 0.992947 2.07007i
\(29\) 1.00735 + 1.74478i 0.187060 + 0.323998i 0.944269 0.329175i \(-0.106771\pi\)
−0.757209 + 0.653173i \(0.773437\pi\)
\(30\) −2.38825 1.37886i −0.436033 0.251744i
\(31\) −4.44176 4.44176i −0.797764 0.797764i 0.184978 0.982743i \(-0.440779\pi\)
−0.982743 + 0.184978i \(0.940779\pi\)
\(32\) −1.80569 6.73893i −0.319204 1.19129i
\(33\) 2.53362 + 9.45558i 0.441046 + 1.64601i
\(34\) −7.43817 + 7.43817i −1.27563 + 1.27563i
\(35\) −0.686256 + 0.799946i −0.115998 + 0.135216i
\(36\) 16.9801 9.80347i 2.83002 1.63391i
\(37\) 0.463819 1.73100i 0.0762514 0.284574i −0.917263 0.398283i \(-0.869606\pi\)
0.993514 + 0.113708i \(0.0362730\pi\)
\(38\) −2.06793 −0.335462
\(39\) −9.47719 + 2.16630i −1.51757 + 0.346886i
\(40\) 2.65083i 0.419133i
\(41\) 0.578490 2.15895i 0.0903449 0.337172i −0.905928 0.423432i \(-0.860825\pi\)
0.996273 + 0.0862606i \(0.0274918\pi\)
\(42\) −6.07597 17.2783i −0.937543 2.66610i
\(43\) −2.65096 1.53053i −0.404267 0.233404i 0.284057 0.958808i \(-0.408320\pi\)
−0.688323 + 0.725404i \(0.741653\pi\)
\(44\) 11.7881 11.7881i 1.77712 1.77712i
\(45\) −1.64306 + 0.440256i −0.244933 + 0.0656295i
\(46\) 12.6328 3.38495i 1.86261 0.499084i
\(47\) 5.99945 5.99945i 0.875109 0.875109i −0.117914 0.993024i \(-0.537621\pi\)
0.993024 + 0.117914i \(0.0376209\pi\)
\(48\) −18.4491 10.6516i −2.66290 1.53743i
\(49\) −6.91855 + 1.06472i −0.988365 + 0.152104i
\(50\) −3.21707 + 12.0063i −0.454962 + 1.69794i
\(51\) 11.0471i 1.54690i
\(52\) 11.2648 + 12.1327i 1.56214 + 1.68251i
\(53\) 9.09347 1.24908 0.624542 0.780991i \(-0.285286\pi\)
0.624542 + 0.780991i \(0.285286\pi\)
\(54\) 2.27546 8.49214i 0.309651 1.15563i
\(55\) −1.25253 + 0.723149i −0.168891 + 0.0975094i
\(56\) −11.4632 + 13.3623i −1.53183 + 1.78561i
\(57\) −1.53563 + 1.53563i −0.203399 + 0.203399i
\(58\) −1.33878 4.99638i −0.175790 0.656057i
\(59\) 1.92316 + 7.17731i 0.250374 + 0.934407i 0.970606 + 0.240674i \(0.0773685\pi\)
−0.720232 + 0.693733i \(0.755965\pi\)
\(60\) 3.48750 + 3.48750i 0.450235 + 0.450235i
\(61\) 2.40353 + 1.38768i 0.307741 + 0.177674i 0.645915 0.763409i \(-0.276476\pi\)
−0.338174 + 0.941084i \(0.609809\pi\)
\(62\) 8.06384 + 13.9670i 1.02411 + 1.77381i
\(63\) −10.1862 4.88598i −1.28333 0.615575i
\(64\) 2.11035i 0.263794i
\(65\) −0.671556 1.26966i −0.0832963 0.157482i
\(66\) 25.1331i 3.09367i
\(67\) −4.85858 1.30185i −0.593570 0.159046i −0.0504855 0.998725i \(-0.516077\pi\)
−0.543084 + 0.839678i \(0.682744\pi\)
\(68\) 16.2926 9.40656i 1.97577 1.14071i
\(69\) 6.86740 11.8947i 0.826737 1.43195i
\(70\) 2.23346 1.52782i 0.266949 0.182609i
\(71\) −0.582978 2.17570i −0.0691867 0.258208i 0.922666 0.385601i \(-0.126006\pi\)
−0.991852 + 0.127393i \(0.959339\pi\)
\(72\) −27.4456 + 7.35402i −3.23449 + 0.866680i
\(73\) −3.50176 + 3.50176i −0.409850 + 0.409850i −0.881686 0.471836i \(-0.843591\pi\)
0.471836 + 0.881686i \(0.343591\pi\)
\(74\) −2.30051 + 3.98460i −0.267429 + 0.463200i
\(75\) 6.52679 + 11.3047i 0.753649 + 1.30536i
\(76\) 3.57239 + 0.957219i 0.409781 + 0.109801i
\(77\) −9.44093 1.77118i −1.07589 0.201845i
\(78\) 24.9426 + 0.925283i 2.82419 + 0.104768i
\(79\) −3.61967 −0.407245 −0.203622 0.979050i \(-0.565271\pi\)
−0.203622 + 0.979050i \(0.565271\pi\)
\(80\) 0.814620 3.04020i 0.0910772 0.339905i
\(81\) 1.78854 + 3.09785i 0.198727 + 0.344205i
\(82\) −2.86927 + 4.96972i −0.316857 + 0.548813i
\(83\) 5.36774 + 5.36774i 0.589186 + 0.589186i 0.937411 0.348225i \(-0.113215\pi\)
−0.348225 + 0.937411i \(0.613215\pi\)
\(84\) 2.49847 + 32.6611i 0.272605 + 3.56362i
\(85\) −1.57654 + 0.422432i −0.170999 + 0.0458191i
\(86\) 5.55723 + 5.55723i 0.599251 + 0.599251i
\(87\) −4.70444 2.71611i −0.504369 0.291198i
\(88\) −20.9222 + 12.0795i −2.23032 + 1.28768i
\(89\) −11.5425 3.09280i −1.22350 0.327836i −0.411454 0.911430i \(-0.634979\pi\)
−0.812045 + 0.583595i \(0.801646\pi\)
\(90\) 4.36728 0.460351
\(91\) 2.10533 9.30417i 0.220699 0.975342i
\(92\) −23.3903 −2.43861
\(93\) 16.3599 + 4.38363i 1.69645 + 0.454561i
\(94\) −18.8651 + 10.8918i −1.94578 + 1.12340i
\(95\) −0.277872 0.160430i −0.0285091 0.0164597i
\(96\) 13.3015 + 13.3015i 1.35758 + 1.35758i
\(97\) −7.71975 + 2.06850i −0.783822 + 0.210024i −0.628469 0.777835i \(-0.716318\pi\)
−0.155353 + 0.987859i \(0.549651\pi\)
\(98\) 17.8653 + 1.95693i 1.80466 + 0.197680i
\(99\) −10.9620 10.9620i −1.10172 1.10172i
\(100\) 11.1151 19.2519i 1.11151 1.92519i
\(101\) −2.25123 3.89924i −0.224005 0.387989i 0.732015 0.681288i \(-0.238580\pi\)
−0.956021 + 0.293300i \(0.905247\pi\)
\(102\) 7.34082 27.3963i 0.726849 2.71264i
\(103\) 16.1000 1.58638 0.793192 0.608971i \(-0.208418\pi\)
0.793192 + 0.608971i \(0.208418\pi\)
\(104\) −11.2177 21.2084i −1.09998 2.07965i
\(105\) 0.524004 2.79310i 0.0511376 0.272578i
\(106\) −22.5515 6.04265i −2.19039 0.586914i
\(107\) 5.40840 + 9.36762i 0.522850 + 0.905602i 0.999646 + 0.0265887i \(0.00846443\pi\)
−0.476797 + 0.879014i \(0.658202\pi\)
\(108\) −7.86183 + 13.6171i −0.756505 + 1.31030i
\(109\) 2.35784 2.35784i 0.225841 0.225841i −0.585112 0.810953i \(-0.698949\pi\)
0.810953 + 0.585112i \(0.198949\pi\)
\(110\) 3.58677 0.961072i 0.341985 0.0916346i
\(111\) 1.25059 + 4.66728i 0.118701 + 0.442998i
\(112\) 17.2533 11.8023i 1.63029 1.11521i
\(113\) 3.82032 6.61699i 0.359386 0.622474i −0.628473 0.777832i \(-0.716320\pi\)
0.987858 + 0.155357i \(0.0496529\pi\)
\(114\) 4.82873 2.78787i 0.452252 0.261108i
\(115\) 1.96011 + 0.525209i 0.182781 + 0.0489760i
\(116\) 9.25107i 0.858940i
\(117\) 11.2825 10.4754i 1.04307 0.968447i
\(118\) 19.0774i 1.75622i
\(119\) −9.77375 4.68816i −0.895958 0.429763i
\(120\) −3.57371 6.18984i −0.326233 0.565052i
\(121\) −1.88896 1.09059i −0.171723 0.0991446i
\(122\) −5.03856 5.03856i −0.456169 0.456169i
\(123\) 1.55978 + 5.82117i 0.140640 + 0.524877i
\(124\) −7.46532 27.8609i −0.670405 2.50199i
\(125\) −2.77216 + 2.77216i −0.247950 + 0.247950i
\(126\) 22.0145 + 18.8858i 1.96121 + 1.68248i
\(127\) 10.8931 6.28911i 0.966602 0.558068i 0.0684037 0.997658i \(-0.478209\pi\)
0.898199 + 0.439590i \(0.144876\pi\)
\(128\) −2.20905 + 8.24427i −0.195254 + 0.728697i
\(129\) 8.25352 0.726682
\(130\) 0.821740 + 3.59497i 0.0720713 + 0.315299i
\(131\) 11.7715i 1.02848i 0.857646 + 0.514241i \(0.171926\pi\)
−0.857646 + 0.514241i \(0.828074\pi\)
\(132\) −11.6338 + 43.4180i −1.01259 + 3.77905i
\(133\) −0.706937 2.01032i −0.0612992 0.174317i
\(134\) 11.1840 + 6.45709i 0.966151 + 0.557808i
\(135\) 0.964579 0.964579i 0.0830177 0.0830177i
\(136\) −26.3344 + 7.05628i −2.25816 + 0.605071i
\(137\) −12.5772 + 3.37005i −1.07454 + 0.287923i −0.752358 0.658754i \(-0.771084\pi\)
−0.322184 + 0.946677i \(0.604417\pi\)
\(138\) −24.9350 + 24.9350i −2.12260 + 2.12260i
\(139\) 7.49780 + 4.32886i 0.635955 + 0.367169i 0.783055 0.621953i \(-0.213660\pi\)
−0.147099 + 0.989122i \(0.546994\pi\)
\(140\) −4.56556 + 1.60550i −0.385860 + 0.135689i
\(141\) −5.92093 + 22.0972i −0.498632 + 1.86092i
\(142\) 5.78305i 0.485303i
\(143\) 6.96090 11.0861i 0.582099 0.927065i
\(144\) 33.7370 2.81141
\(145\) 0.207724 0.775238i 0.0172506 0.0643800i
\(146\) 11.0112 6.35730i 0.911291 0.526134i
\(147\) 14.7198 11.8134i 1.21407 0.974355i
\(148\) 5.81861 5.81861i 0.478287 0.478287i
\(149\) −4.83483 18.0438i −0.396085 1.47821i −0.819925 0.572471i \(-0.805985\pi\)
0.423840 0.905737i \(-0.360682\pi\)
\(150\) −8.67416 32.3724i −0.708242 2.64320i
\(151\) 9.94985 + 9.94985i 0.809707 + 0.809707i 0.984589 0.174882i \(-0.0559544\pi\)
−0.174882 + 0.984589i \(0.555954\pi\)
\(152\) −4.64157 2.67981i −0.376481 0.217361i
\(153\) −8.74737 15.1509i −0.707183 1.22488i
\(154\) 22.2362 + 10.6660i 1.79184 + 0.859492i
\(155\) 2.50237i 0.200995i
\(156\) −42.6606 13.1441i −3.41558 1.05237i
\(157\) 14.0101i 1.11813i 0.829124 + 0.559064i \(0.188840\pi\)
−0.829124 + 0.559064i \(0.811160\pi\)
\(158\) 8.97665 + 2.40529i 0.714144 + 0.191354i
\(159\) −21.2338 + 12.2593i −1.68395 + 0.972229i
\(160\) −1.38963 + 2.40690i −0.109860 + 0.190282i
\(161\) 7.60928 + 11.1237i 0.599695 + 0.876672i
\(162\) −2.37699 8.87104i −0.186754 0.696975i
\(163\) −9.15502 + 2.45308i −0.717076 + 0.192140i −0.598867 0.800849i \(-0.704382\pi\)
−0.118210 + 0.992989i \(0.537715\pi\)
\(164\) 7.25715 7.25715i 0.566688 0.566688i
\(165\) 1.94982 3.37719i 0.151794 0.262914i
\(166\) −9.74492 16.8787i −0.756353 1.31004i
\(167\) −9.41229 2.52202i −0.728345 0.195159i −0.124453 0.992226i \(-0.539718\pi\)
−0.603892 + 0.797066i \(0.706384\pi\)
\(168\) 8.75295 46.6558i 0.675305 3.59957i
\(169\) 10.7458 + 7.31628i 0.826600 + 0.562790i
\(170\) 4.19046 0.321394
\(171\) 0.890139 3.32204i 0.0680706 0.254043i
\(172\) −7.02786 12.1726i −0.535870 0.928153i
\(173\) −8.50332 + 14.7282i −0.646496 + 1.11976i 0.337458 + 0.941341i \(0.390433\pi\)
−0.983954 + 0.178423i \(0.942900\pi\)
\(174\) 9.86198 + 9.86198i 0.747635 + 0.747635i
\(175\) −12.7716 + 0.976985i −0.965440 + 0.0738531i
\(176\) 27.7076 7.42423i 2.08854 0.559622i
\(177\) −14.1668 14.1668i −1.06484 1.06484i
\(178\) 26.5697 + 15.3400i 1.99149 + 1.14978i
\(179\) 9.41215 5.43411i 0.703497 0.406164i −0.105152 0.994456i \(-0.533533\pi\)
0.808649 + 0.588292i \(0.200199\pi\)
\(180\) −7.54457 2.02156i −0.562339 0.150678i
\(181\) −20.7716 −1.54394 −0.771969 0.635661i \(-0.780728\pi\)
−0.771969 + 0.635661i \(0.780728\pi\)
\(182\) −11.4038 + 21.6750i −0.845306 + 1.60666i
\(183\) −7.48319 −0.553173
\(184\) 32.7415 + 8.77307i 2.41374 + 0.646759i
\(185\) −0.618250 + 0.356947i −0.0454546 + 0.0262432i
\(186\) −37.6591 21.7425i −2.76130 1.59424i
\(187\) −10.5182 10.5182i −0.769167 0.769167i
\(188\) 37.6315 10.0833i 2.74456 0.735402i
\(189\) 9.03346 0.691031i 0.657087 0.0502651i
\(190\) 0.582507 + 0.582507i 0.0422595 + 0.0422595i
\(191\) −0.742192 + 1.28551i −0.0537031 + 0.0930165i −0.891627 0.452770i \(-0.850436\pi\)
0.837924 + 0.545787i \(0.183769\pi\)
\(192\) −2.84506 4.92779i −0.205325 0.355633i
\(193\) −1.90039 + 7.09237i −0.136793 + 0.510520i 0.863191 + 0.504878i \(0.168463\pi\)
−0.999984 + 0.00564177i \(0.998204\pi\)
\(194\) 20.5192 1.47319
\(195\) 3.27981 + 2.05938i 0.234872 + 0.147475i
\(196\) −29.9568 11.6503i −2.13977 0.832162i
\(197\) 17.4416 + 4.67347i 1.24266 + 0.332971i 0.819499 0.573081i \(-0.194252\pi\)
0.423166 + 0.906052i \(0.360919\pi\)
\(198\) 19.9011 + 34.4697i 1.41431 + 2.44965i
\(199\) 1.63076 2.82456i 0.115602 0.200228i −0.802418 0.596762i \(-0.796454\pi\)
0.918020 + 0.396534i \(0.129787\pi\)
\(200\) −22.7797 + 22.7797i −1.61077 + 1.61077i
\(201\) 13.1002 3.51017i 0.924013 0.247589i
\(202\) 2.99190 + 11.1659i 0.210509 + 0.785631i
\(203\) 4.39952 3.00953i 0.308786 0.211228i
\(204\) −25.3629 + 43.9298i −1.77576 + 3.07570i
\(205\) −0.771100 + 0.445195i −0.0538560 + 0.0310938i
\(206\) −39.9275 10.6985i −2.78188 0.745403i
\(207\) 21.7512i 1.51181i
\(208\) 6.34789 + 27.7709i 0.440147 + 1.92557i
\(209\) 2.92422i 0.202273i
\(210\) −3.15554 + 6.57857i −0.217753 + 0.453965i
\(211\) 1.10904 + 1.92091i 0.0763492 + 0.132241i 0.901672 0.432420i \(-0.142340\pi\)
−0.825323 + 0.564661i \(0.809007\pi\)
\(212\) 36.1611 + 20.8776i 2.48356 + 1.43388i
\(213\) 4.29445 + 4.29445i 0.294251 + 0.294251i
\(214\) −7.18781 26.8253i −0.491348 1.83374i
\(215\) 0.315609 + 1.17787i 0.0215243 + 0.0803299i
\(216\) 16.1123 16.1123i 1.09630 1.09630i
\(217\) −10.8212 + 12.6139i −0.734592 + 0.856289i
\(218\) −7.41417 + 4.28057i −0.502151 + 0.289917i
\(219\) 3.45593 12.8977i 0.233530 0.871546i
\(220\) −6.64109 −0.447742
\(221\) 10.8257 10.0513i 0.728216 0.676120i
\(222\) 12.4057i 0.832616i
\(223\) 1.40793 5.25448i 0.0942823 0.351866i −0.902627 0.430423i \(-0.858364\pi\)
0.996910 + 0.0785566i \(0.0250311\pi\)
\(224\) −17.4132 + 6.12342i −1.16347 + 0.409138i
\(225\) −17.9028 10.3362i −1.19352 0.689080i
\(226\) −13.8713 + 13.8713i −0.922704 + 0.922704i
\(227\) −0.334926 + 0.0897430i −0.0222298 + 0.00595646i −0.269917 0.962884i \(-0.586996\pi\)
0.247687 + 0.968840i \(0.420330\pi\)
\(228\) −9.63221 + 2.58094i −0.637909 + 0.170927i
\(229\) 18.7465 18.7465i 1.23880 1.23880i 0.278312 0.960491i \(-0.410225\pi\)
0.960491 0.278312i \(-0.0897748\pi\)
\(230\) −4.51199 2.60500i −0.297512 0.171768i
\(231\) 24.4330 8.59194i 1.60757 0.565308i
\(232\) 3.46982 12.9496i 0.227805 0.850180i
\(233\) 21.8266i 1.42991i −0.699173 0.714953i \(-0.746448\pi\)
0.699173 0.714953i \(-0.253552\pi\)
\(234\) −34.9411 + 18.4812i −2.28417 + 1.20816i
\(235\) −3.37993 −0.220482
\(236\) −8.83072 + 32.9567i −0.574831 + 2.14530i
\(237\) 8.45215 4.87985i 0.549026 0.316980i
\(238\) 21.1232 + 18.1212i 1.36922 + 1.17462i
\(239\) 2.02192 2.02192i 0.130787 0.130787i −0.638683 0.769470i \(-0.720520\pi\)
0.769470 + 0.638683i \(0.220520\pi\)
\(240\) 2.19645 + 8.19728i 0.141781 + 0.529132i
\(241\) 7.81005 + 29.1475i 0.503090 + 1.87756i 0.478938 + 0.877849i \(0.341022\pi\)
0.0241515 + 0.999708i \(0.492312\pi\)
\(242\) 3.95985 + 3.95985i 0.254549 + 0.254549i
\(243\) −17.2493 9.95889i −1.10654 0.638863i
\(244\) 6.37193 + 11.0365i 0.407921 + 0.706540i
\(245\) 2.24878 + 1.64894i 0.143669 + 0.105347i
\(246\) 15.4728i 0.986508i
\(247\) 2.90206 + 0.107656i 0.184654 + 0.00685001i
\(248\) 41.7995i 2.65427i
\(249\) −19.7705 5.29749i −1.25291 0.335715i
\(250\) 8.71697 5.03275i 0.551310 0.318299i
\(251\) 8.33953 14.4445i 0.526386 0.911728i −0.473141 0.880987i \(-0.656880\pi\)
0.999527 0.0307412i \(-0.00978676\pi\)
\(252\) −29.2886 42.8159i −1.84501 2.69715i
\(253\) 4.78661 + 17.8639i 0.300932 + 1.12309i
\(254\) −31.1935 + 8.35828i −1.95726 + 0.524445i
\(255\) 3.11181 3.11181i 0.194869 0.194869i
\(256\) 13.0671 22.6328i 0.816691 1.41455i
\(257\) 6.10569 + 10.5754i 0.380863 + 0.659674i 0.991186 0.132479i \(-0.0422937\pi\)
−0.610323 + 0.792153i \(0.708960\pi\)
\(258\) −20.4684 5.48450i −1.27431 0.341450i
\(259\) −4.66005 0.874257i −0.289561 0.0543237i
\(260\) 0.244494 6.59076i 0.0151629 0.408742i
\(261\) 8.60277 0.532498
\(262\) 7.82222 29.1929i 0.483258 1.80354i
\(263\) −7.30314 12.6494i −0.450331 0.779996i 0.548075 0.836429i \(-0.315361\pi\)
−0.998406 + 0.0564328i \(0.982027\pi\)
\(264\) 32.5698 56.4125i 2.00453 3.47195i
\(265\) −2.56151 2.56151i −0.157352 0.157352i
\(266\) 0.417312 + 5.45528i 0.0255870 + 0.334485i
\(267\) 31.1219 8.33909i 1.90463 0.510344i
\(268\) −16.3317 16.3317i −0.997618 0.997618i
\(269\) 4.31634 + 2.49204i 0.263172 + 0.151942i 0.625781 0.779999i \(-0.284781\pi\)
−0.362609 + 0.931941i \(0.618114\pi\)
\(270\) −3.03309 + 1.75115i −0.184588 + 0.106572i
\(271\) 25.5915 + 6.85721i 1.55457 + 0.416546i 0.930940 0.365173i \(-0.118990\pi\)
0.623631 + 0.781719i \(0.285657\pi\)
\(272\) 32.3711 1.96278
\(273\) 7.62732 + 24.5641i 0.461626 + 1.48669i
\(274\) 33.4304 2.01960
\(275\) −16.9779 4.54921i −1.02380 0.274328i
\(276\) 54.6178 31.5336i 3.28761 1.89810i
\(277\) 17.6881 + 10.2122i 1.06277 + 0.613592i 0.926198 0.377038i \(-0.123057\pi\)
0.136574 + 0.990630i \(0.456391\pi\)
\(278\) −15.7177 15.7177i −0.942687 0.942687i
\(279\) −25.9085 + 6.94216i −1.55110 + 0.415617i
\(280\) 6.99300 0.534942i 0.417912 0.0319689i
\(281\) −3.86728 3.86728i −0.230703 0.230703i 0.582283 0.812986i \(-0.302159\pi\)
−0.812986 + 0.582283i \(0.802159\pi\)
\(282\) 29.3674 50.8658i 1.74880 3.02901i
\(283\) −12.5189 21.6835i −0.744174 1.28895i −0.950580 0.310481i \(-0.899510\pi\)
0.206405 0.978467i \(-0.433823\pi\)
\(284\) 2.67691 9.99036i 0.158845 0.592819i
\(285\) 0.865131 0.0512459
\(286\) −24.6295 + 22.8675i −1.45637 + 1.35219i
\(287\) −5.81215 1.09040i −0.343081 0.0643643i
\(288\) −28.7753 7.71031i −1.69560 0.454334i
\(289\) 0.106779 + 0.184946i 0.00628111 + 0.0108792i
\(290\) −1.03030 + 1.78453i −0.0605012 + 0.104791i
\(291\) 15.2374 15.2374i 0.893234 0.893234i
\(292\) −21.9648 + 5.88544i −1.28539 + 0.344420i
\(293\) −4.77690 17.8276i −0.279069 1.04150i −0.953065 0.302766i \(-0.902090\pi\)
0.673996 0.738735i \(-0.264577\pi\)
\(294\) −44.3547 + 19.5155i −2.58682 + 1.13817i
\(295\) 1.48003 2.56348i 0.0861704 0.149251i
\(296\) −10.3272 + 5.96243i −0.600258 + 0.346559i
\(297\) 12.0086 + 3.21770i 0.696810 + 0.186710i
\(298\) 47.9608i 2.77829i
\(299\) −17.9047 + 4.09267i −1.03546 + 0.236685i
\(300\) 59.9393i 3.46059i
\(301\) −3.50264 + 7.30220i −0.201889 + 0.420892i
\(302\) −18.0636 31.2870i −1.03944 1.80036i
\(303\) 10.5135 + 6.06997i 0.603985 + 0.348711i
\(304\) 4.49983 + 4.49983i 0.258083 + 0.258083i
\(305\) −0.286152 1.06793i −0.0163850 0.0611497i
\(306\) 11.6253 + 43.3863i 0.664576 + 2.48023i
\(307\) −14.6697 + 14.6697i −0.837243 + 0.837243i −0.988495 0.151252i \(-0.951670\pi\)
0.151252 + 0.988495i \(0.451670\pi\)
\(308\) −33.4764 28.7187i −1.90749 1.63640i
\(309\) −37.5946 + 21.7052i −2.13868 + 1.23477i
\(310\) 1.66284 6.20579i 0.0944427 0.352465i
\(311\) 5.86149 0.332374 0.166187 0.986094i \(-0.446854\pi\)
0.166187 + 0.986094i \(0.446854\pi\)
\(312\) 54.7859 + 34.3998i 3.10164 + 1.94750i
\(313\) 20.4076i 1.15351i −0.816918 0.576754i \(-0.804319\pi\)
0.816918 0.576754i \(-0.195681\pi\)
\(314\) 9.30978 34.7446i 0.525381 1.96075i
\(315\) 1.49299 + 4.24561i 0.0841203 + 0.239213i
\(316\) −14.3940 8.31037i −0.809725 0.467495i
\(317\) −5.42384 + 5.42384i −0.304633 + 0.304633i −0.842824 0.538190i \(-0.819108\pi\)
0.538190 + 0.842824i \(0.319108\pi\)
\(318\) 60.8054 16.2928i 3.40980 0.913653i
\(319\) 7.06531 1.89314i 0.395582 0.105996i
\(320\) 0.594457 0.594457i 0.0332312 0.0332312i
\(321\) −25.2579 14.5826i −1.40976 0.813923i
\(322\) −11.4790 32.6428i −0.639699 1.81911i
\(323\) 0.854101 3.18755i 0.0475234 0.177360i
\(324\) 16.4252i 0.912512i
\(325\) 5.13978 16.6817i 0.285103 0.925335i
\(326\) 24.3342 1.34775
\(327\) −2.32699 + 8.68443i −0.128683 + 0.480250i
\(328\) −12.8804 + 7.43652i −0.711203 + 0.410613i
\(329\) −17.0375 14.6161i −0.939308 0.805812i
\(330\) −7.07965 + 7.07965i −0.389722 + 0.389722i
\(331\) 6.52453 + 24.3499i 0.358621 + 1.33839i 0.875866 + 0.482554i \(0.160291\pi\)
−0.517246 + 0.855837i \(0.673043\pi\)
\(332\) 9.02162 + 33.6691i 0.495126 + 1.84783i
\(333\) −5.41085 5.41085i −0.296513 0.296513i
\(334\) 21.6662 + 12.5090i 1.18552 + 0.684463i
\(335\) 1.00188 + 1.73531i 0.0547386 + 0.0948100i
\(336\) −24.3763 + 50.8191i −1.32984 + 2.77241i
\(337\) 30.1306i 1.64132i −0.571417 0.820660i \(-0.693606\pi\)
0.571417 0.820660i \(-0.306394\pi\)
\(338\) −21.7875 25.2847i −1.18508 1.37531i
\(339\) 20.6014i 1.11892i
\(340\) −7.23912 1.93972i −0.392596 0.105196i
\(341\) −19.7505 + 11.4030i −1.06955 + 0.617505i
\(342\) −4.41503 + 7.64705i −0.238737 + 0.413505i
\(343\) 4.20497 + 18.0366i 0.227047 + 0.973884i
\(344\) 5.27192 + 19.6751i 0.284243 + 1.06081i
\(345\) −5.28502 + 1.41612i −0.284536 + 0.0762412i
\(346\) 30.8749 30.8749i 1.65984 1.65984i
\(347\) −17.2300 + 29.8433i −0.924957 + 1.60207i −0.133326 + 0.991072i \(0.542566\pi\)
−0.791631 + 0.611000i \(0.790768\pi\)
\(348\) −12.4718 21.6018i −0.668559 1.15798i
\(349\) 3.97028 + 1.06383i 0.212524 + 0.0569457i 0.363510 0.931590i \(-0.381578\pi\)
−0.150986 + 0.988536i \(0.548245\pi\)
\(350\) 32.3223 + 6.06388i 1.72770 + 0.324128i
\(351\) −3.63541 + 11.7991i −0.194044 + 0.629791i
\(352\) −25.3294 −1.35006
\(353\) −2.81747 + 10.5149i −0.149959 + 0.559653i 0.849526 + 0.527547i \(0.176888\pi\)
−0.999484 + 0.0321060i \(0.989779\pi\)
\(354\) 25.7192 + 44.5469i 1.36696 + 2.36764i
\(355\) −0.448649 + 0.777083i −0.0238118 + 0.0412433i
\(356\) −38.7991 38.7991i −2.05635 2.05635i
\(357\) 29.1426 2.22932i 1.54239 0.117988i
\(358\) −26.9528 + 7.22197i −1.42450 + 0.381693i
\(359\) 21.7659 + 21.7659i 1.14876 + 1.14876i 0.986797 + 0.161963i \(0.0517824\pi\)
0.161963 + 0.986797i \(0.448218\pi\)
\(360\) 9.80258 + 5.65952i 0.516641 + 0.298283i
\(361\) −15.8927 + 9.17563i −0.836456 + 0.482928i
\(362\) 51.5127 + 13.8028i 2.70745 + 0.725458i
\(363\) 5.88111 0.308678
\(364\) 29.7334 32.1654i 1.55846 1.68592i
\(365\) 1.97280 0.103261
\(366\) 18.5580 + 4.97261i 0.970044 + 0.259923i
\(367\) 21.5968 12.4689i 1.12734 0.650873i 0.184079 0.982912i \(-0.441070\pi\)
0.943266 + 0.332039i \(0.107737\pi\)
\(368\) −34.8548 20.1235i −1.81693 1.04901i
\(369\) −6.74858 6.74858i −0.351317 0.351317i
\(370\) 1.77043 0.474385i 0.0920403 0.0246621i
\(371\) −1.83508 23.9890i −0.0952726 1.24545i
\(372\) 54.9926 + 54.9926i 2.85123 + 2.85123i
\(373\) −9.09462 + 15.7523i −0.470902 + 0.815626i −0.999446 0.0332801i \(-0.989405\pi\)
0.528544 + 0.848906i \(0.322738\pi\)
\(374\) 19.0954 + 33.0741i 0.987398 + 1.71022i
\(375\) 2.73588 10.2104i 0.141280 0.527265i
\(376\) −56.4582 −2.91161
\(377\) 1.61868 + 7.08146i 0.0833665 + 0.364714i
\(378\) −22.8618 4.28904i −1.17589 0.220604i
\(379\) −0.810924 0.217286i −0.0416544 0.0111613i 0.237932 0.971282i \(-0.423531\pi\)
−0.279586 + 0.960121i \(0.590197\pi\)
\(380\) −0.736658 1.27593i −0.0377898 0.0654538i
\(381\) −16.9573 + 29.3709i −0.868748 + 1.50472i
\(382\) 2.69484 2.69484i 0.137880 0.137880i
\(383\) 5.60755 1.50254i 0.286532 0.0767761i −0.112690 0.993630i \(-0.535947\pi\)
0.399223 + 0.916854i \(0.369280\pi\)
\(384\) −5.95624 22.2290i −0.303953 1.13437i
\(385\) 2.16046 + 3.15830i 0.110107 + 0.160962i
\(386\) 9.42582 16.3260i 0.479761 0.830971i
\(387\) −11.3196 + 6.53537i −0.575407 + 0.332211i
\(388\) −35.4474 9.49811i −1.79957 0.482194i
\(389\) 8.72624i 0.442438i −0.975224 0.221219i \(-0.928996\pi\)
0.975224 0.221219i \(-0.0710036\pi\)
\(390\) −6.76535 7.28663i −0.342577 0.368973i
\(391\) 20.8706i 1.05547i
\(392\) 37.5636 + 27.5439i 1.89725 + 1.39118i
\(393\) −15.8697 27.4872i −0.800522 1.38654i
\(394\) −40.1491 23.1801i −2.02268 1.16780i
\(395\) 1.01961 + 1.01961i 0.0513022 + 0.0513022i
\(396\) −18.4240 68.7592i −0.925839 3.45528i
\(397\) 0.0550441 + 0.205427i 0.00276258 + 0.0103101i 0.967293 0.253660i \(-0.0816345\pi\)
−0.964531 + 0.263970i \(0.914968\pi\)
\(398\) −5.92117 + 5.92117i −0.296801 + 0.296801i
\(399\) 4.36094 + 3.74116i 0.218320 + 0.187292i
\(400\) 33.1261 19.1254i 1.65631 0.956269i
\(401\) −1.81652 + 6.77934i −0.0907126 + 0.338544i −0.996335 0.0855419i \(-0.972738\pi\)
0.905622 + 0.424086i \(0.139405\pi\)
\(402\) −34.8204 −1.73668
\(403\) −10.5894 20.0206i −0.527496 0.997298i
\(404\) 20.6743i 1.02858i
\(405\) 0.368813 1.37643i 0.0183265 0.0683953i
\(406\) −12.9105 + 4.54003i −0.640738 + 0.225318i
\(407\) −5.63456 3.25312i −0.279295 0.161251i
\(408\) 51.9795 51.9795i 2.57337 2.57337i
\(409\) −10.3417 + 2.77106i −0.511366 + 0.137020i −0.505270 0.862961i \(-0.668607\pi\)
−0.00609589 + 0.999981i \(0.501940\pi\)
\(410\) 2.20813 0.591668i 0.109052 0.0292204i
\(411\) 24.8252 24.8252i 1.22454 1.22454i
\(412\) 64.0235 + 36.9640i 3.15421 + 1.82108i
\(413\) 18.5460 6.52176i 0.912588 0.320915i
\(414\) 14.4538 53.9421i 0.710363 2.65111i
\(415\) 3.02404i 0.148444i
\(416\) 0.932509 25.1374i 0.0457200 1.23246i
\(417\) −23.3438 −1.14315
\(418\) −1.94316 + 7.25197i −0.0950430 + 0.354705i
\(419\) −0.903448 + 0.521606i −0.0441363 + 0.0254821i −0.521906 0.853003i \(-0.674779\pi\)
0.477769 + 0.878485i \(0.341445\pi\)
\(420\) 8.49640 9.90397i 0.414582 0.483264i
\(421\) −22.9876 + 22.9876i −1.12035 + 1.12035i −0.128658 + 0.991689i \(0.541067\pi\)
−0.991689 + 0.128658i \(0.958933\pi\)
\(422\) −1.47392 5.50074i −0.0717492 0.267772i
\(423\) −9.37671 34.9944i −0.455911 1.70148i
\(424\) −42.7873 42.7873i −2.07794 2.07794i
\(425\) −17.1780 9.91772i −0.833255 0.481080i
\(426\) −7.79641 13.5038i −0.377737 0.654260i
\(427\) 3.17572 6.62066i 0.153684 0.320396i
\(428\) 49.6684i 2.40081i
\(429\) −1.30843 + 35.2710i −0.0631716 + 1.70290i
\(430\) 3.13079i 0.150980i
\(431\) 7.90477 + 2.11808i 0.380760 + 0.102024i 0.444122 0.895966i \(-0.353516\pi\)
−0.0633623 + 0.997991i \(0.520182\pi\)
\(432\) −23.4304 + 13.5276i −1.12730 + 0.650845i
\(433\) −9.95068 + 17.2351i −0.478199 + 0.828266i −0.999688 0.0249929i \(-0.992044\pi\)
0.521488 + 0.853258i \(0.325377\pi\)
\(434\) 35.2182 24.0913i 1.69053 1.15642i
\(435\) 0.560086 + 2.09027i 0.0268541 + 0.100221i
\(436\) 14.7896 3.96285i 0.708292 0.189786i
\(437\) −2.90117 + 2.90117i −0.138782 + 0.138782i
\(438\) −17.1412 + 29.6894i −0.819036 + 1.41861i
\(439\) 3.63272 + 6.29205i 0.173380 + 0.300303i 0.939599 0.342276i \(-0.111198\pi\)
−0.766219 + 0.642579i \(0.777864\pi\)
\(440\) 9.29613 + 2.49089i 0.443176 + 0.118749i
\(441\) −10.8338 + 27.8575i −0.515897 + 1.32655i
\(442\) −33.5265 + 17.7330i −1.59469 + 0.843473i
\(443\) 26.5617 1.26198 0.630992 0.775789i \(-0.282648\pi\)
0.630992 + 0.775789i \(0.282648\pi\)
\(444\) −5.74246 + 21.4311i −0.272525 + 1.01708i
\(445\) 2.38016 + 4.12255i 0.112830 + 0.195428i
\(446\) −6.98325 + 12.0954i −0.330667 + 0.572731i
\(447\) 35.6153 + 35.6153i 1.68455 + 1.68455i
\(448\) 5.56720 0.425873i 0.263025 0.0201206i
\(449\) 19.1518 5.13170i 0.903828 0.242180i 0.223168 0.974780i \(-0.428360\pi\)
0.680659 + 0.732600i \(0.261693\pi\)
\(450\) 37.5299 + 37.5299i 1.76918 + 1.76918i
\(451\) −7.02760 4.05739i −0.330917 0.191055i
\(452\) 30.3838 17.5421i 1.42913 0.825111i
\(453\) −36.6474 9.81963i −1.72184 0.461366i
\(454\) 0.890238 0.0417809
\(455\) −3.21390 + 2.02782i −0.150670 + 0.0950654i
\(456\) 14.4511 0.676735
\(457\) 24.2444 + 6.49628i 1.13411 + 0.303883i 0.776579 0.630019i \(-0.216953\pi\)
0.357528 + 0.933903i \(0.383620\pi\)
\(458\) −58.9477 + 34.0335i −2.75445 + 1.59028i
\(459\) 12.1502 + 7.01490i 0.567121 + 0.327427i
\(460\) 6.58874 + 6.58874i 0.307201 + 0.307201i
\(461\) 32.6719 8.75440i 1.52168 0.407733i 0.601386 0.798959i \(-0.294615\pi\)
0.920295 + 0.391226i \(0.127949\pi\)
\(462\) −66.3022 + 5.07191i −3.08466 + 0.235967i
\(463\) 13.6651 + 13.6651i 0.635073 + 0.635073i 0.949336 0.314263i \(-0.101757\pi\)
−0.314263 + 0.949336i \(0.601757\pi\)
\(464\) −7.95899 + 13.7854i −0.369487 + 0.639970i
\(465\) −3.37356 5.84318i −0.156445 0.270971i
\(466\) −14.5038 + 54.1291i −0.671877 + 2.50748i
\(467\) −15.1526 −0.701178 −0.350589 0.936529i \(-0.614019\pi\)
−0.350589 + 0.936529i \(0.614019\pi\)
\(468\) 68.9163 15.7529i 3.18566 0.728180i
\(469\) −2.45387 + 13.0799i −0.113309 + 0.603972i
\(470\) 8.38209 + 2.24597i 0.386637 + 0.103599i
\(471\) −18.8877 32.7145i −0.870299 1.50740i
\(472\) 24.7223 42.8203i 1.13794 1.97096i
\(473\) −7.85840 + 7.85840i −0.361329 + 0.361329i
\(474\) −24.2037 + 6.48536i −1.11171 + 0.297882i
\(475\) −1.00923 3.76652i −0.0463069 0.172820i
\(476\) −28.1028 41.0824i −1.28809 1.88301i
\(477\) 19.4146 33.6270i 0.888932 1.53968i
\(478\) −6.35787 + 3.67072i −0.290802 + 0.167895i
\(479\) 24.2829 + 6.50658i 1.10951 + 0.297293i 0.766633 0.642086i \(-0.221931\pi\)
0.342881 + 0.939379i \(0.388597\pi\)
\(480\) 7.49368i 0.342038i
\(481\) 3.43590 5.47209i 0.156664 0.249506i
\(482\) 77.4746i 3.52887i
\(483\) −32.7645 15.7161i −1.49084 0.715108i
\(484\) −5.00776 8.67369i −0.227625 0.394259i
\(485\) 2.75722 + 1.59188i 0.125199 + 0.0722836i
\(486\) 36.1599 + 36.1599i 1.64025 + 1.64025i
\(487\) −6.68642 24.9540i −0.302990 1.13078i −0.934661 0.355539i \(-0.884297\pi\)
0.631671 0.775237i \(-0.282369\pi\)
\(488\) −4.77987 17.8387i −0.216375 0.807521i
\(489\) 18.0704 18.0704i 0.817172 0.817172i
\(490\) −4.48116 5.58364i −0.202438 0.252243i
\(491\) −31.2520 + 18.0433i −1.41038 + 0.814284i −0.995424 0.0955563i \(-0.969537\pi\)
−0.414958 + 0.909841i \(0.636204\pi\)
\(492\) −7.16217 + 26.7296i −0.322895 + 1.20506i
\(493\) 8.25448 0.371763
\(494\) −7.12547 2.19542i −0.320590 0.0987764i
\(495\) 6.17570i 0.277577i
\(496\) 12.8453 47.9393i 0.576771 2.15254i
\(497\) −5.62195 + 1.97698i −0.252179 + 0.0886798i
\(498\) 45.5099 + 26.2752i 2.03935 + 1.17742i
\(499\) 19.9711 19.9711i 0.894029 0.894029i −0.100871 0.994900i \(-0.532163\pi\)
0.994900 + 0.100871i \(0.0321628\pi\)
\(500\) −17.3884 + 4.65920i −0.777632 + 0.208366i
\(501\) 25.3783 6.80010i 1.13382 0.303806i
\(502\) −30.2801 + 30.2801i −1.35147 + 1.35147i
\(503\) 23.3796 + 13.4982i 1.04244 + 0.601855i 0.920525 0.390685i \(-0.127762\pi\)
0.121920 + 0.992540i \(0.461095\pi\)
\(504\) 24.9388 + 70.9186i 1.11086 + 3.15897i
\(505\) −0.464223 + 1.73250i −0.0206576 + 0.0770954i
\(506\) 47.4825i 2.11085i
\(507\) −34.9555 2.59703i −1.55243 0.115338i
\(508\) 57.7565 2.56253
\(509\) −1.30100 + 4.85539i −0.0576658 + 0.215212i −0.988746 0.149602i \(-0.952201\pi\)
0.931081 + 0.364814i \(0.118867\pi\)
\(510\) −9.78497 + 5.64936i −0.433286 + 0.250158i
\(511\) 9.94446 + 8.53114i 0.439917 + 0.377395i
\(512\) −35.3750 + 35.3750i −1.56337 + 1.56337i
\(513\) 0.713841 + 2.66409i 0.0315169 + 0.117623i
\(514\) −8.11452 30.2838i −0.357916 1.33576i
\(515\) −4.53516 4.53516i −0.199843 0.199843i
\(516\) 32.8210 + 18.9492i 1.44486 + 0.834191i
\(517\) −15.4019 26.6768i −0.677373 1.17325i
\(518\) 10.9758 + 5.26475i 0.482249 + 0.231320i
\(519\) 45.8549i 2.01281i
\(520\) −2.81425 + 9.13397i −0.123413 + 0.400551i
\(521\) 28.5686i 1.25161i −0.779979 0.625806i \(-0.784770\pi\)
0.779979 0.625806i \(-0.215230\pi\)
\(522\) −21.3346 5.71658i −0.933789 0.250208i
\(523\) 15.9700 9.22026i 0.698318 0.403174i −0.108403 0.994107i \(-0.534574\pi\)
0.806720 + 0.590933i \(0.201240\pi\)
\(524\) −27.0261 + 46.8106i −1.18064 + 2.04493i
\(525\) 28.5053 19.4993i 1.24407 0.851018i
\(526\) 9.70594 + 36.2230i 0.423199 + 1.57940i
\(527\) −24.8596 + 6.66110i −1.08290 + 0.290162i
\(528\) −54.6899 + 54.6899i −2.38007 + 2.38007i
\(529\) 1.47417 2.55334i 0.0640944 0.111015i
\(530\) 4.65031 + 8.05458i 0.201997 + 0.349868i
\(531\) 30.6472 + 8.21188i 1.32997 + 0.356365i
\(532\) 1.80427 9.61729i 0.0782250 0.416962i
\(533\) 4.28536 6.82496i 0.185620 0.295622i
\(534\) −82.7225 −3.57975
\(535\) 1.11526 4.16220i 0.0482169 0.179948i
\(536\) 16.7354 + 28.9865i 0.722859 + 1.25203i
\(537\) −14.6519 + 25.3779i −0.632278 + 1.09514i
\(538\) −9.04840 9.04840i −0.390104 0.390104i
\(539\) −2.76726 + 25.2630i −0.119194 + 1.08816i
\(540\) 6.05032 1.62118i 0.260364 0.0697644i
\(541\) −4.67673 4.67673i −0.201068 0.201068i 0.599389 0.800458i \(-0.295410\pi\)
−0.800458 + 0.599389i \(0.795410\pi\)
\(542\) −58.9092 34.0113i −2.53037 1.46091i
\(543\) 48.5028 28.0031i 2.08145 1.20173i
\(544\) −27.6103 7.39814i −1.18378 0.317193i
\(545\) −1.32835 −0.0569001
\(546\) −2.59253 65.9864i −0.110950 2.82396i
\(547\) 33.8006 1.44521 0.722605 0.691261i \(-0.242944\pi\)
0.722605 + 0.691261i \(0.242944\pi\)
\(548\) −57.7518 15.4745i −2.46703 0.661040i
\(549\) 10.2631 5.92540i 0.438018 0.252890i
\(550\) 39.0816 + 22.5637i 1.66644 + 0.962121i
\(551\) 1.14744 + 1.14744i 0.0488825 + 0.0488825i
\(552\) −88.2808 + 23.6548i −3.75748 + 1.00681i
\(553\) 0.730457 + 9.54885i 0.0310622 + 0.406058i
\(554\) −37.0797 37.0797i −1.57536 1.57536i
\(555\) 0.962433 1.66698i 0.0408530 0.0707595i
\(556\) 19.8772 + 34.4283i 0.842981 + 1.46009i
\(557\) 6.41622 23.9457i 0.271864 1.01461i −0.686050 0.727555i \(-0.740657\pi\)
0.957914 0.287056i \(-0.0926765\pi\)
\(558\) 68.8653 2.91530
\(559\) −7.50953 8.08815i −0.317619 0.342092i
\(560\) −8.18458 1.53548i −0.345862 0.0648860i
\(561\) 38.7407 + 10.3805i 1.63563 + 0.438267i
\(562\) 7.02090 + 12.1606i 0.296159 + 0.512962i
\(563\) 2.10194 3.64067i 0.0885863 0.153436i −0.818327 0.574752i \(-0.805098\pi\)
0.906914 + 0.421316i \(0.138432\pi\)
\(564\) −74.2780 + 74.2780i −3.12767 + 3.12767i
\(565\) −2.94005 + 0.787784i −0.123689 + 0.0331423i
\(566\) 16.6378 + 62.0931i 0.699338 + 2.60997i
\(567\) 7.81132 5.34341i 0.328045 0.224402i
\(568\) −7.49422 + 12.9804i −0.314450 + 0.544644i
\(569\) −0.733859 + 0.423694i −0.0307650 + 0.0177622i −0.515304 0.857008i \(-0.672321\pi\)
0.484539 + 0.874770i \(0.338988\pi\)
\(570\) −2.14549 0.574883i −0.0898648 0.0240792i
\(571\) 17.8746i 0.748028i 0.927423 + 0.374014i \(0.122019\pi\)
−0.927423 + 0.374014i \(0.877981\pi\)
\(572\) 53.1332 28.1035i 2.22161 1.17507i
\(573\) 4.00234i 0.167200i
\(574\) 13.6894 + 6.56635i 0.571382 + 0.274074i
\(575\) 12.3307 + 21.3574i 0.514225 + 0.890664i
\(576\) 7.80393 + 4.50560i 0.325164 + 0.187733i
\(577\) −6.04475 6.04475i −0.251646 0.251646i 0.569999 0.821645i \(-0.306944\pi\)
−0.821645 + 0.569999i \(0.806944\pi\)
\(578\) −0.141910 0.529615i −0.00590268 0.0220291i
\(579\) −5.12402 19.1231i −0.212947 0.794729i
\(580\) 2.60590 2.60590i 0.108204 0.108204i
\(581\) 13.0771 15.2436i 0.542530 0.632410i
\(582\) −47.9136 + 27.6629i −1.98608 + 1.14667i
\(583\) 8.54482 31.8897i 0.353890 1.32074i
\(584\) 32.9535 1.36363
\(585\) −6.12889 0.227360i −0.253399 0.00940020i
\(586\) 47.3861i 1.95750i
\(587\) −10.7910 + 40.2727i −0.445394 + 1.66223i 0.269502 + 0.963000i \(0.413141\pi\)
−0.714895 + 0.699231i \(0.753526\pi\)
\(588\) 85.6572 13.1822i 3.53244 0.543623i
\(589\) −4.38162 2.52973i −0.180541 0.104236i
\(590\) −5.37385 + 5.37385i −0.221238 + 0.221238i
\(591\) −47.0278 + 12.6011i −1.93446 + 0.518338i
\(592\) 13.6765 3.66460i 0.562100 0.150614i
\(593\) −6.50540 + 6.50540i −0.267145 + 0.267145i −0.827949 0.560804i \(-0.810492\pi\)
0.560804 + 0.827949i \(0.310492\pi\)
\(594\) −27.6427 15.9595i −1.13420 0.654828i
\(595\) 1.43254 + 4.07372i 0.0587285 + 0.167006i
\(596\) 22.2005 82.8534i 0.909368 3.39381i
\(597\) 8.79403i 0.359916i
\(598\) 47.1226 + 1.74808i 1.92699 + 0.0714845i
\(599\) −41.5746 −1.69869 −0.849345 0.527838i \(-0.823003\pi\)
−0.849345 + 0.527838i \(0.823003\pi\)
\(600\) 22.4816 83.9023i 0.917806 3.42530i
\(601\) 22.6812 13.0950i 0.925184 0.534155i 0.0398987 0.999204i \(-0.487296\pi\)
0.885285 + 0.465049i \(0.153963\pi\)
\(602\) 13.5388 15.7817i 0.551798 0.643213i
\(603\) −15.1872 + 15.1872i −0.618472 + 0.618472i
\(604\) 16.7228 + 62.4104i 0.680442 + 2.53944i
\(605\) 0.224889 + 0.839298i 0.00914305 + 0.0341223i
\(606\) −22.0396 22.0396i −0.895296 0.895296i
\(607\) −16.5683 9.56570i −0.672486 0.388260i 0.124532 0.992216i \(-0.460257\pi\)
−0.797018 + 0.603956i \(0.793590\pi\)
\(608\) −2.80964 4.86644i −0.113946 0.197360i
\(609\) −6.21586 + 12.9586i −0.251879 + 0.525111i
\(610\) 2.83859i 0.114931i
\(611\) 27.0417 14.3030i 1.09399 0.578638i
\(612\) 80.3321i 3.24723i
\(613\) −10.7855 2.88996i −0.435622 0.116725i 0.0343420 0.999410i \(-0.489066\pi\)
−0.469964 + 0.882686i \(0.655733\pi\)
\(614\) 46.1284 26.6322i 1.86159 1.07479i
\(615\) 1.20038 2.07911i 0.0484039 0.0838379i
\(616\) 36.0883 + 52.7561i 1.45404 + 2.12561i
\(617\) −2.84075 10.6018i −0.114364 0.426814i 0.884874 0.465830i \(-0.154244\pi\)
−0.999239 + 0.0390163i \(0.987578\pi\)
\(618\) 107.656 28.8464i 4.33057 1.16037i
\(619\) −18.7983 + 18.7983i −0.755567 + 0.755567i −0.975512 0.219945i \(-0.929412\pi\)
0.219945 + 0.975512i \(0.429412\pi\)
\(620\) −5.74517 + 9.95093i −0.230732 + 0.399639i
\(621\) −8.72161 15.1063i −0.349986 0.606194i
\(622\) −14.5363 3.89498i −0.582851 0.156175i
\(623\) −5.82964 + 31.0737i −0.233559 + 1.24494i
\(624\) −52.2620 56.2888i −2.09215 2.25336i
\(625\) −22.6448 −0.905791
\(626\) −13.5610 + 50.6102i −0.542005 + 2.02279i
\(627\) 3.94228 + 6.82824i 0.157440 + 0.272694i
\(628\) −32.1657 + 55.7127i −1.28355 + 2.22318i
\(629\) −5.19179 5.19179i −0.207010 0.207010i
\(630\) −0.881325 11.5211i −0.0351128 0.459010i
\(631\) −34.9180 + 9.35626i −1.39007 + 0.372467i −0.874767 0.484544i \(-0.838986\pi\)
−0.515298 + 0.857011i \(0.672319\pi\)
\(632\) 17.0316 + 17.0316i 0.677479 + 0.677479i
\(633\) −5.17933 2.99029i −0.205860 0.118853i
\(634\) 17.0551 9.84677i 0.677345 0.391065i
\(635\) −4.83998 1.29687i −0.192069 0.0514647i
\(636\) −112.584 −4.46427
\(637\) −24.9697 3.67636i −0.989334 0.145663i
\(638\) −18.7797 −0.743496
\(639\) −9.29025 2.48932i −0.367517 0.0984758i
\(640\) 2.94456 1.70004i 0.116394 0.0672000i
\(641\) 21.5157 + 12.4221i 0.849819 + 0.490643i 0.860590 0.509299i \(-0.170095\pi\)
−0.0107708 + 0.999942i \(0.503429\pi\)
\(642\) 52.9484 + 52.9484i 2.08971 + 2.08971i
\(643\) −28.7931 + 7.71509i −1.13549 + 0.304253i −0.777136 0.629333i \(-0.783328\pi\)
−0.358353 + 0.933586i \(0.616662\pi\)
\(644\) 4.72021 + 61.7047i 0.186003 + 2.43151i
\(645\) −2.32490 2.32490i −0.0915430 0.0915430i
\(646\) −4.23628 + 7.33745i −0.166674 + 0.288688i
\(647\) −6.87674 11.9109i −0.270352 0.468264i 0.698600 0.715513i \(-0.253807\pi\)
−0.968952 + 0.247249i \(0.920474\pi\)
\(648\) 6.16064 22.9918i 0.242013 0.903205i
\(649\) 26.9771 1.05894
\(650\) −23.8315 + 37.9547i −0.934750 + 1.48870i
\(651\) 8.26275 44.0429i 0.323843 1.72618i
\(652\) −42.0379 11.2640i −1.64633 0.441133i
\(653\) −0.855193 1.48124i −0.0334663 0.0579653i 0.848807 0.528703i \(-0.177321\pi\)
−0.882273 + 0.470737i \(0.843988\pi\)
\(654\) 11.5417 19.9908i 0.451315 0.781701i
\(655\) 3.31587 3.31587i 0.129562 0.129562i
\(656\) 17.0577 4.57060i 0.665992 0.178452i
\(657\) 5.47300 + 20.4255i 0.213522 + 0.796876i
\(658\) 32.5399 + 47.5689i 1.26854 + 1.85443i
\(659\) −4.73353 + 8.19872i −0.184392 + 0.319377i −0.943372 0.331738i \(-0.892365\pi\)
0.758979 + 0.651115i \(0.225698\pi\)
\(660\) 15.5073 8.95317i 0.603623 0.348502i
\(661\) 8.52858 + 2.28523i 0.331723 + 0.0888850i 0.420836 0.907137i \(-0.361737\pi\)
−0.0891132 + 0.996022i \(0.528403\pi\)
\(662\) 64.7224i 2.51551i
\(663\) −11.7281 + 38.0649i −0.455482 + 1.47832i
\(664\) 50.5135i 1.96030i
\(665\) −0.367145 + 0.765414i −0.0142373 + 0.0296815i
\(666\) 9.82318 + 17.0143i 0.380641 + 0.659289i
\(667\) −8.88783 5.13139i −0.344138 0.198688i
\(668\) −31.6387 31.6387i −1.22414 1.22414i
\(669\) 3.79621 + 14.1676i 0.146770 + 0.547752i
\(670\) −1.33151 4.96926i −0.0514407 0.191979i
\(671\) 7.12495 7.12495i 0.275056 0.275056i
\(672\) 32.4056 37.7741i 1.25007 1.45717i
\(673\) 15.2065 8.77951i 0.586169 0.338425i −0.177412 0.984137i \(-0.556773\pi\)
0.763581 + 0.645712i \(0.223439\pi\)
\(674\) −20.0219 + 74.7228i −0.771216 + 2.87822i
\(675\) 16.5781 0.638091
\(676\) 25.9344 + 53.7651i 0.997476 + 2.06789i
\(677\) 23.4987i 0.903127i −0.892239 0.451564i \(-0.850866\pi\)
0.892239 0.451564i \(-0.149134\pi\)
\(678\) 13.6897 51.0908i 0.525751 1.96213i
\(679\) 7.01466 + 19.9476i 0.269198 + 0.765519i
\(680\) 9.40571 + 5.43039i 0.360692 + 0.208246i
\(681\) 0.661084 0.661084i 0.0253328 0.0253328i
\(682\) 56.5579 15.1546i 2.16571 0.580301i
\(683\) −33.6607 + 9.01937i −1.28799 + 0.345117i −0.836898 0.547359i \(-0.815633\pi\)
−0.451095 + 0.892476i \(0.648966\pi\)
\(684\) 11.1668 11.1668i 0.426973 0.426973i
\(685\) 4.49212 + 2.59353i 0.171635 + 0.0990936i
\(686\) 1.55722 47.5243i 0.0594548 1.81449i
\(687\) −18.5011 + 69.0472i −0.705862 + 2.63431i
\(688\) 24.1852i 0.922052i
\(689\) 31.3334 + 9.65409i 1.19371 + 0.367792i
\(690\) 14.0477 0.534786
\(691\) 12.0465 44.9582i 0.458271 1.71029i −0.220019 0.975496i \(-0.570612\pi\)
0.678290 0.734795i \(-0.262721\pi\)
\(692\) −67.6287 + 39.0454i −2.57086 + 1.48428i
\(693\) −26.7061 + 31.1304i −1.01448 + 1.18255i
\(694\) 62.5609 62.5609i 2.37478 2.37478i
\(695\) −0.892649 3.33141i −0.0338601 0.126368i
\(696\) 9.35566 + 34.9158i 0.354625 + 1.32348i
\(697\) −6.47536 6.47536i −0.245272 0.245272i
\(698\) −9.13923 5.27654i −0.345925 0.199720i
\(699\) 29.4254 + 50.9663i 1.11297 + 1.92772i
\(700\) −53.0305 25.4371i −2.00437 0.961432i
\(701\) 7.19399i 0.271713i 0.990729 + 0.135857i \(0.0433787\pi\)
−0.990729 + 0.135857i \(0.956621\pi\)
\(702\) 16.8563 26.8457i 0.636199 1.01323i
\(703\) 1.44340i 0.0544388i
\(704\) 7.40075 + 1.98302i 0.278926 + 0.0747380i
\(705\) 7.89233 4.55664i 0.297242 0.171613i
\(706\) 13.9744 24.2044i 0.525934 0.910945i
\(707\) −9.83206 + 6.72571i −0.369773 + 0.252946i
\(708\) −23.8102 88.8609i −0.894843 3.33960i
\(709\) −0.150433 + 0.0403084i −0.00564964 + 0.00151382i −0.261643 0.965165i \(-0.584264\pi\)
0.255993 + 0.966679i \(0.417598\pi\)
\(710\) 1.62901 1.62901i 0.0611356 0.0611356i
\(711\) −7.72800 + 13.3853i −0.289823 + 0.501988i
\(712\) 39.7581 + 68.8630i 1.49000 + 2.58075i
\(713\) 30.9079 + 8.28174i 1.15751 + 0.310154i
\(714\) −73.7540 13.8368i −2.76018 0.517828i
\(715\) −5.08359 + 1.16201i −0.190115 + 0.0434567i
\(716\) 49.9045 1.86502
\(717\) −1.99546 + 7.44715i −0.0745218 + 0.278119i
\(718\) −39.5151 68.4421i −1.47469 2.55424i
\(719\) 6.48137 11.2261i 0.241714 0.418661i −0.719488 0.694504i \(-0.755624\pi\)
0.961203 + 0.275843i \(0.0889570\pi\)
\(720\) −9.50324 9.50324i −0.354165 0.354165i
\(721\) −3.24902 42.4726i −0.121000 1.58176i
\(722\) 45.5105 12.1945i 1.69372 0.453832i
\(723\) −57.5321 57.5321i −2.13964 2.13964i
\(724\) −82.6002 47.6893i −3.06981 1.77236i
\(725\) 8.44702 4.87689i 0.313714 0.181123i
\(726\) −14.5849 3.90802i −0.541297 0.145040i
\(727\) 49.4330 1.83337 0.916684 0.399614i \(-0.130856\pi\)
0.916684 + 0.399614i \(0.130856\pi\)
\(728\) −53.6849 + 33.8726i −1.98970 + 1.25540i
\(729\) 42.9729 1.59159
\(730\) −4.89246 1.31093i −0.181078 0.0485198i
\(731\) −10.8613 + 6.27077i −0.401720 + 0.231933i
\(732\) −29.7577 17.1806i −1.09988 0.635013i
\(733\) 24.1928 + 24.1928i 0.893581 + 0.893581i 0.994858 0.101277i \(-0.0322930\pi\)
−0.101277 + 0.994858i \(0.532293\pi\)
\(734\) −61.8450 + 16.5713i −2.28274 + 0.611658i
\(735\) −7.47405 0.818694i −0.275685 0.0301980i
\(736\) 25.1297 + 25.1297i 0.926292 + 0.926292i
\(737\) −9.13088 + 15.8151i −0.336340 + 0.582558i
\(738\) 12.2518 + 21.2207i 0.450994 + 0.781145i
\(739\) 1.10636 4.12898i 0.0406980 0.151887i −0.942587 0.333961i \(-0.891615\pi\)
0.983285 + 0.182074i \(0.0582812\pi\)
\(740\) −3.27805 −0.120503
\(741\) −6.92162 + 3.66102i −0.254272 + 0.134491i
\(742\) −11.3898 + 60.7112i −0.418134 + 2.22878i
\(743\) 23.2815 + 6.23826i 0.854115 + 0.228859i 0.659206 0.751962i \(-0.270892\pi\)
0.194909 + 0.980821i \(0.437559\pi\)
\(744\) −56.3519 97.6043i −2.06596 3.57835i
\(745\) −3.72080 + 6.44461i −0.136319 + 0.236112i
\(746\) 33.0218 33.0218i 1.20902 1.20902i
\(747\) 31.3097 8.38940i 1.14556 0.306952i
\(748\) −17.6780 65.9754i −0.646373 2.41230i
\(749\) 23.6208 16.1580i 0.863084 0.590400i
\(750\) −13.5698 + 23.5035i −0.495498 + 0.858227i
\(751\) −11.3539 + 6.55518i −0.414310 + 0.239202i −0.692640 0.721283i \(-0.743553\pi\)
0.278330 + 0.960486i \(0.410219\pi\)
\(752\) 64.7512 + 17.3500i 2.36123 + 0.632690i
\(753\) 44.9716i 1.63886i
\(754\) 0.691382 18.6374i 0.0251786 0.678734i
\(755\) 5.60548i 0.204004i
\(756\) 37.5090 + 17.9919i 1.36419 + 0.654359i
\(757\) 7.95111 + 13.7717i 0.288988 + 0.500542i 0.973568 0.228395i \(-0.0733479\pi\)
−0.684580 + 0.728937i \(0.740015\pi\)
\(758\) 1.86667 + 1.07772i 0.0678007 + 0.0391447i
\(759\) −35.2602 35.2602i −1.27986 1.27986i
\(760\) 0.552600 + 2.06233i 0.0200449 + 0.0748087i
\(761\) −10.2470 38.2424i −0.371454 1.38629i −0.858457 0.512886i \(-0.828576\pi\)
0.487002 0.873401i \(-0.338090\pi\)
\(762\) 61.5705 61.5705i 2.23047 2.23047i
\(763\) −6.69592 5.74428i −0.242408 0.207957i
\(764\) −5.90280 + 3.40799i −0.213556 + 0.123297i
\(765\) −1.80378 + 6.73181i −0.0652160 + 0.243389i
\(766\) −14.9050 −0.538538
\(767\) −0.993171 + 26.7726i −0.0358613 + 0.966704i
\(768\) 70.4653i 2.54270i
\(769\) 1.28737 4.80452i 0.0464236 0.173255i −0.938822 0.344404i \(-0.888081\pi\)
0.985245 + 0.171148i \(0.0547478\pi\)
\(770\) −3.25917 9.26811i −0.117452 0.333999i
\(771\) −28.5143 16.4627i −1.02692 0.592891i
\(772\) −23.8404 + 23.8404i −0.858036 + 0.858036i
\(773\) 32.0473 8.58704i 1.15266 0.308855i 0.368630 0.929576i \(-0.379827\pi\)
0.784031 + 0.620722i \(0.213160\pi\)
\(774\) 32.4149 8.68556i 1.16513 0.312196i