Properties

Label 114.2.l.b.29.2
Level $114$
Weight $2$
Character 114.29
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
Defining polynomial: \(x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 29.2
Root \(0.0786547 - 1.73026i\) of defining polynomial
Character \(\chi\) \(=\) 114.29
Dual form 114.2.l.b.59.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.173648 + 0.984808i) q^{2} +(0.517874 + 1.65282i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.258510 + 0.710252i) q^{5} +(-1.53778 + 0.797015i) q^{6} +(0.777943 - 1.34744i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.46361 + 1.71190i) q^{9} +O(q^{10})\) \(q+(0.173648 + 0.984808i) q^{2} +(0.517874 + 1.65282i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.258510 + 0.710252i) q^{5} +(-1.53778 + 0.797015i) q^{6} +(0.777943 - 1.34744i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-2.46361 + 1.71190i) q^{9} +(-0.744351 - 0.131249i) q^{10} +(0.832399 - 0.480586i) q^{11} +(-1.05194 - 1.37602i) q^{12} +(0.416982 - 0.496940i) q^{13} +(1.46205 + 0.532144i) q^{14} +(-1.30779 - 0.0594499i) q^{15} +(0.766044 - 0.642788i) q^{16} +(6.73013 - 1.18670i) q^{17} +(-2.11370 - 2.12892i) q^{18} +(-4.14364 - 1.35288i) q^{19} -0.755834i q^{20} +(2.62994 + 0.587996i) q^{21} +(0.617829 + 0.736300i) q^{22} +(0.400647 + 1.10077i) q^{23} +(1.17245 - 1.27490i) q^{24} +(3.39259 + 2.84672i) q^{25} +(0.561798 + 0.324354i) q^{26} +(-4.10530 - 3.18535i) q^{27} +(-0.270177 + 1.53225i) q^{28} +(1.39666 - 7.92086i) q^{29} +(-0.168549 - 1.29825i) q^{30} +(-2.63927 - 1.52379i) q^{31} +(0.766044 + 0.642788i) q^{32} +(1.22540 + 1.12692i) q^{33} +(2.33735 + 6.42181i) q^{34} +(0.755913 + 0.900862i) q^{35} +(1.72953 - 2.45127i) q^{36} -4.12648i q^{37} +(0.612788 - 4.31561i) q^{38} +(1.03729 + 0.431843i) q^{39} +(0.744351 - 0.131249i) q^{40} +(-4.09755 + 3.43825i) q^{41} +(-0.122378 + 2.69209i) q^{42} +(-7.34330 - 2.67274i) q^{43} +(-0.617829 + 0.736300i) q^{44} +(-0.579012 - 2.19233i) q^{45} +(-1.01447 + 0.585707i) q^{46} +(-3.11004 - 0.548383i) q^{47} +(1.45913 + 0.933249i) q^{48} +(2.28961 + 3.96572i) q^{49} +(-2.21436 + 3.83538i) q^{50} +(5.44676 + 10.5091i) q^{51} +(-0.221871 + 0.609587i) q^{52} +(-13.6276 + 4.96002i) q^{53} +(2.42408 - 4.59607i) q^{54} +(0.126153 + 0.715449i) q^{55} -1.55589 q^{56} +(0.0901766 - 7.54930i) q^{57} +8.04306 q^{58} +(2.02192 + 11.4669i) q^{59} +(1.24926 - 0.391427i) q^{60} +(10.1813 - 3.70568i) q^{61} +(1.04233 - 2.86378i) q^{62} +(0.390129 + 4.65133i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.245158 + 0.424626i) q^{65} +(-0.897012 + 1.40247i) q^{66} +(-9.19012 - 1.62047i) q^{67} +(-5.91837 + 3.41697i) q^{68} +(-1.61189 + 1.23226i) q^{69} +(-0.755913 + 0.900862i) q^{70} +(0.0322101 + 0.0117235i) q^{71} +(2.71436 + 1.27760i) q^{72} +(-3.04446 + 2.55461i) q^{73} +(4.06379 - 0.716556i) q^{74} +(-2.94818 + 7.08158i) q^{75} +(4.35646 - 0.145920i) q^{76} -1.49547i q^{77} +(-0.245158 + 1.09652i) q^{78} +(-0.893115 - 1.06437i) q^{79} +(0.258510 + 0.710252i) q^{80} +(3.13878 - 8.43493i) q^{81} +(-4.09755 - 3.43825i) q^{82} +(-10.4856 - 6.05389i) q^{83} +(-2.67245 + 0.346959i) q^{84} +(-0.896950 + 5.08686i) q^{85} +(1.35699 - 7.69585i) q^{86} +(13.8150 - 1.79358i) q^{87} +(-0.832399 - 0.480586i) q^{88} +(4.68075 + 3.92762i) q^{89} +(2.05848 - 0.950909i) q^{90} +(-0.345207 - 0.948448i) q^{91} +(-0.752970 - 0.897355i) q^{92} +(1.15173 - 5.15137i) q^{93} -3.15801i q^{94} +(2.03206 - 2.59329i) q^{95} +(-0.665696 + 1.59901i) q^{96} +(9.54804 - 1.68358i) q^{97} +(-3.50789 + 2.94347i) q^{98} +(-1.22799 + 2.60896i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} + O(q^{10}) \) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} - 12q^{13} - 12q^{14} + 18q^{15} + 6q^{17} - 6q^{19} - 24q^{22} + 3q^{24} - 18q^{25} + 18q^{26} - 6q^{27} + 6q^{28} - 6q^{29} - 24q^{33} - 6q^{34} - 24q^{35} + 3q^{38} + 6q^{39} + 3q^{41} - 6q^{43} + 24q^{44} - 54q^{45} + 18q^{46} + 30q^{47} + 21q^{49} + 3q^{50} + 42q^{51} - 6q^{52} - 60q^{53} + 54q^{54} + 30q^{55} + 12q^{57} + 12q^{58} + 3q^{59} + 24q^{60} + 54q^{61} + 6q^{62} - 18q^{63} - 9q^{64} + 24q^{65} - 27q^{66} - 15q^{67} - 27q^{68} + 30q^{69} + 24q^{70} + 36q^{71} + 6q^{72} - 42q^{73} + 6q^{74} - 24q^{78} - 6q^{79} - 3q^{81} + 3q^{82} + 36q^{83} - 30q^{84} - 6q^{86} - 60q^{89} - 18q^{91} - 66q^{93} + 6q^{95} + 9q^{97} + 12q^{98} - 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.173648 + 0.984808i 0.122788 + 0.696364i
\(3\) 0.517874 + 1.65282i 0.298995 + 0.954255i
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) −0.258510 + 0.710252i −0.115609 + 0.317634i −0.983979 0.178283i \(-0.942946\pi\)
0.868370 + 0.495917i \(0.165168\pi\)
\(6\) −1.53778 + 0.797015i −0.627796 + 0.325380i
\(7\) 0.777943 1.34744i 0.294035 0.509283i −0.680725 0.732539i \(-0.738335\pi\)
0.974760 + 0.223256i \(0.0716685\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) −2.46361 + 1.71190i −0.821204 + 0.570634i
\(10\) −0.744351 0.131249i −0.235384 0.0415046i
\(11\) 0.832399 0.480586i 0.250978 0.144902i −0.369234 0.929336i \(-0.620380\pi\)
0.620212 + 0.784434i \(0.287047\pi\)
\(12\) −1.05194 1.37602i −0.303669 0.397222i
\(13\) 0.416982 0.496940i 0.115650 0.137826i −0.705113 0.709095i \(-0.749104\pi\)
0.820763 + 0.571268i \(0.193548\pi\)
\(14\) 1.46205 + 0.532144i 0.390751 + 0.142222i
\(15\) −1.30779 0.0594499i −0.337671 0.0153499i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 6.73013 1.18670i 1.63230 0.287818i 0.718968 0.695043i \(-0.244615\pi\)
0.913328 + 0.407226i \(0.133504\pi\)
\(18\) −2.11370 2.12892i −0.498203 0.501790i
\(19\) −4.14364 1.35288i −0.950615 0.310371i
\(20\) 0.755834i 0.169010i
\(21\) 2.62994 + 0.587996i 0.573901 + 0.128311i
\(22\) 0.617829 + 0.736300i 0.131722 + 0.156980i
\(23\) 0.400647 + 1.10077i 0.0835407 + 0.229526i 0.974429 0.224697i \(-0.0721392\pi\)
−0.890888 + 0.454223i \(0.849917\pi\)
\(24\) 1.17245 1.27490i 0.239324 0.260238i
\(25\) 3.39259 + 2.84672i 0.678519 + 0.569345i
\(26\) 0.561798 + 0.324354i 0.110178 + 0.0636111i
\(27\) −4.10530 3.18535i −0.790066 0.613022i
\(28\) −0.270177 + 1.53225i −0.0510586 + 0.289568i
\(29\) 1.39666 7.92086i 0.259354 1.47087i −0.525292 0.850922i \(-0.676044\pi\)
0.784645 0.619945i \(-0.212845\pi\)
\(30\) −0.168549 1.29825i −0.0307727 0.237026i
\(31\) −2.63927 1.52379i −0.474028 0.273680i 0.243897 0.969801i \(-0.421574\pi\)
−0.717924 + 0.696121i \(0.754908\pi\)
\(32\) 0.766044 + 0.642788i 0.135419 + 0.113630i
\(33\) 1.22540 + 1.12692i 0.213314 + 0.196172i
\(34\) 2.33735 + 6.42181i 0.400852 + 1.10133i
\(35\) 0.755913 + 0.900862i 0.127773 + 0.152273i
\(36\) 1.72953 2.45127i 0.288256 0.408545i
\(37\) 4.12648i 0.678389i −0.940716 0.339195i \(-0.889846\pi\)
0.940716 0.339195i \(-0.110154\pi\)
\(38\) 0.612788 4.31561i 0.0994073 0.700084i
\(39\) 1.03729 + 0.431843i 0.166100 + 0.0691502i
\(40\) 0.744351 0.131249i 0.117692 0.0207523i
\(41\) −4.09755 + 3.43825i −0.639929 + 0.536964i −0.903996 0.427540i \(-0.859380\pi\)
0.264067 + 0.964504i \(0.414936\pi\)
\(42\) −0.122378 + 2.69209i −0.0188833 + 0.415399i
\(43\) −7.34330 2.67274i −1.11984 0.407589i −0.285248 0.958454i \(-0.592076\pi\)
−0.834595 + 0.550865i \(0.814298\pi\)
\(44\) −0.617829 + 0.736300i −0.0931412 + 0.111001i
\(45\) −0.579012 2.19233i −0.0863139 0.326813i
\(46\) −1.01447 + 0.585707i −0.149576 + 0.0863578i
\(47\) −3.11004 0.548383i −0.453646 0.0799899i −0.0578432 0.998326i \(-0.518422\pi\)
−0.395802 + 0.918336i \(0.629533\pi\)
\(48\) 1.45913 + 0.933249i 0.210607 + 0.134703i
\(49\) 2.28961 + 3.96572i 0.327087 + 0.566531i
\(50\) −2.21436 + 3.83538i −0.313157 + 0.542405i
\(51\) 5.44676 + 10.5091i 0.762699 + 1.47157i
\(52\) −0.221871 + 0.609587i −0.0307680 + 0.0845345i
\(53\) −13.6276 + 4.96002i −1.87189 + 0.681312i −0.905427 + 0.424503i \(0.860449\pi\)
−0.966462 + 0.256809i \(0.917329\pi\)
\(54\) 2.42408 4.59607i 0.329876 0.625445i
\(55\) 0.126153 + 0.715449i 0.0170105 + 0.0964711i
\(56\) −1.55589 −0.207914
\(57\) 0.0901766 7.54930i 0.0119442 0.999929i
\(58\) 8.04306 1.05610
\(59\) 2.02192 + 11.4669i 0.263231 + 1.49286i 0.774024 + 0.633156i \(0.218241\pi\)
−0.510793 + 0.859704i \(0.670648\pi\)
\(60\) 1.24926 0.391427i 0.161278 0.0505330i
\(61\) 10.1813 3.70568i 1.30358 0.474464i 0.405419 0.914131i \(-0.367126\pi\)
0.898161 + 0.439667i \(0.144903\pi\)
\(62\) 1.04233 2.86378i 0.132376 0.363700i
\(63\) 0.390129 + 4.65133i 0.0491517 + 0.586012i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 0.245158 + 0.424626i 0.0304081 + 0.0526684i
\(66\) −0.897012 + 1.40247i −0.110415 + 0.172632i
\(67\) −9.19012 1.62047i −1.12275 0.197972i −0.418703 0.908123i \(-0.637515\pi\)
−0.704049 + 0.710151i \(0.748626\pi\)
\(68\) −5.91837 + 3.41697i −0.717708 + 0.414369i
\(69\) −1.61189 + 1.23226i −0.194048 + 0.148346i
\(70\) −0.755913 + 0.900862i −0.0903489 + 0.107674i
\(71\) 0.0322101 + 0.0117235i 0.00382263 + 0.00139132i 0.343931 0.938995i \(-0.388241\pi\)
−0.340108 + 0.940386i \(0.610464\pi\)
\(72\) 2.71436 + 1.27760i 0.319890 + 0.150567i
\(73\) −3.04446 + 2.55461i −0.356327 + 0.298994i −0.803325 0.595541i \(-0.796938\pi\)
0.446998 + 0.894535i \(0.352493\pi\)
\(74\) 4.06379 0.716556i 0.472406 0.0832979i
\(75\) −2.94818 + 7.08158i −0.340426 + 0.817711i
\(76\) 4.35646 0.145920i 0.499720 0.0167381i
\(77\) 1.49547i 0.170425i
\(78\) −0.245158 + 1.09652i −0.0277587 + 0.124157i
\(79\) −0.893115 1.06437i −0.100483 0.119751i 0.713459 0.700697i \(-0.247127\pi\)
−0.813943 + 0.580945i \(0.802683\pi\)
\(80\) 0.258510 + 0.710252i 0.0289023 + 0.0794085i
\(81\) 3.13878 8.43493i 0.348753 0.937215i
\(82\) −4.09755 3.43825i −0.452498 0.379691i
\(83\) −10.4856 6.05389i −1.15095 0.664500i −0.201830 0.979421i \(-0.564689\pi\)
−0.949118 + 0.314920i \(0.898022\pi\)
\(84\) −2.67245 + 0.346959i −0.291588 + 0.0378563i
\(85\) −0.896950 + 5.08686i −0.0972879 + 0.551747i
\(86\) 1.35699 7.69585i 0.146328 0.829865i
\(87\) 13.8150 1.79358i 1.48113 0.192292i
\(88\) −0.832399 0.480586i −0.0887340 0.0512306i
\(89\) 4.68075 + 3.92762i 0.496159 + 0.416327i 0.856227 0.516599i \(-0.172802\pi\)
−0.360069 + 0.932926i \(0.617247\pi\)
\(90\) 2.05848 0.950909i 0.216983 0.100235i
\(91\) −0.345207 0.948448i −0.0361875 0.0994243i
\(92\) −0.752970 0.897355i −0.0785026 0.0935557i
\(93\) 1.15173 5.15137i 0.119429 0.534172i
\(94\) 3.15801i 0.325724i
\(95\) 2.03206 2.59329i 0.208485 0.266066i
\(96\) −0.665696 + 1.59901i −0.0679424 + 0.163199i
\(97\) 9.54804 1.68358i 0.969457 0.170941i 0.333571 0.942725i \(-0.391746\pi\)
0.635885 + 0.771784i \(0.280635\pi\)
\(98\) −3.50789 + 2.94347i −0.354350 + 0.297335i
\(99\) −1.22799 + 2.60896i −0.123418 + 0.262211i
\(100\) −4.16163 1.51471i −0.416163 0.151471i
\(101\) 12.0945 14.4137i 1.20345 1.43422i 0.332323 0.943166i \(-0.392168\pi\)
0.871130 0.491053i \(-0.163388\pi\)
\(102\) −9.40363 + 7.18890i −0.931098 + 0.711807i
\(103\) 9.92876 5.73237i 0.978310 0.564828i 0.0765505 0.997066i \(-0.475609\pi\)
0.901759 + 0.432238i \(0.142276\pi\)
\(104\) −0.638853 0.112647i −0.0626447 0.0110460i
\(105\) −1.09749 + 1.71592i −0.107104 + 0.167457i
\(106\) −7.25107 12.5592i −0.704286 1.21986i
\(107\) −1.17826 + 2.04080i −0.113906 + 0.197292i −0.917342 0.398100i \(-0.869670\pi\)
0.803436 + 0.595392i \(0.203003\pi\)
\(108\) 4.94718 + 1.58916i 0.476043 + 0.152917i
\(109\) −2.21678 + 6.09056i −0.212329 + 0.583370i −0.999441 0.0334410i \(-0.989353\pi\)
0.787111 + 0.616811i \(0.211576\pi\)
\(110\) −0.682673 + 0.248473i −0.0650904 + 0.0236910i
\(111\) 6.82032 2.13700i 0.647356 0.202835i
\(112\) −0.270177 1.53225i −0.0255293 0.144784i
\(113\) −10.0387 −0.944358 −0.472179 0.881503i \(-0.656532\pi\)
−0.472179 + 0.881503i \(0.656532\pi\)
\(114\) 7.45026 1.22211i 0.697781 0.114462i
\(115\) −0.885394 −0.0825635
\(116\) 1.39666 + 7.92086i 0.129677 + 0.735434i
\(117\) −0.176570 + 1.93810i −0.0163239 + 0.179177i
\(118\) −10.9416 + 3.98240i −1.00725 + 0.366610i
\(119\) 3.63665 9.99161i 0.333371 0.915929i
\(120\) 0.602411 + 1.16231i 0.0549923 + 0.106104i
\(121\) −5.03807 + 8.72620i −0.458007 + 0.793291i
\(122\) 5.41735 + 9.38312i 0.490464 + 0.849508i
\(123\) −7.80481 4.99192i −0.703736 0.450106i
\(124\) 3.00127 + 0.529205i 0.269522 + 0.0475240i
\(125\) −6.17177 + 3.56327i −0.552020 + 0.318709i
\(126\) −4.51292 + 1.19190i −0.402043 + 0.106183i
\(127\) 8.95146 10.6679i 0.794313 0.946626i −0.205171 0.978726i \(-0.565775\pi\)
0.999485 + 0.0321003i \(0.0102196\pi\)
\(128\) −0.939693 0.342020i −0.0830579 0.0302306i
\(129\) 0.614653 13.5213i 0.0541172 1.19048i
\(130\) −0.375604 + 0.315169i −0.0329426 + 0.0276422i
\(131\) 10.9610 1.93273i 0.957671 0.168863i 0.327096 0.944991i \(-0.393930\pi\)
0.630575 + 0.776128i \(0.282819\pi\)
\(132\) −1.53693 0.639848i −0.133772 0.0556916i
\(133\) −5.04643 + 4.53083i −0.437581 + 0.392873i
\(134\) 9.33190i 0.806153i
\(135\) 3.32367 2.09235i 0.286056 0.180081i
\(136\) −4.39278 5.23511i −0.376678 0.448907i
\(137\) −1.69757 4.66403i −0.145033 0.398475i 0.845812 0.533482i \(-0.179117\pi\)
−0.990845 + 0.135007i \(0.956894\pi\)
\(138\) −1.49344 1.37342i −0.127130 0.116913i
\(139\) −2.76202 2.31761i −0.234272 0.196577i 0.518093 0.855325i \(-0.326642\pi\)
−0.752364 + 0.658747i \(0.771087\pi\)
\(140\) −1.01844 0.587996i −0.0860738 0.0496947i
\(141\) −0.704229 5.42432i −0.0593068 0.456810i
\(142\) −0.00595218 + 0.0337565i −0.000499496 + 0.00283278i
\(143\) 0.108273 0.614047i 0.00905425 0.0513492i
\(144\) −0.786848 + 2.89497i −0.0655706 + 0.241248i
\(145\) 5.26475 + 3.03961i 0.437214 + 0.252426i
\(146\) −3.04446 2.55461i −0.251961 0.211421i
\(147\) −5.36888 + 5.83805i −0.442818 + 0.481514i
\(148\) 1.41134 + 3.87762i 0.116011 + 0.318739i
\(149\) 12.3170 + 14.6788i 1.00904 + 1.20253i 0.979183 + 0.202978i \(0.0650620\pi\)
0.0298610 + 0.999554i \(0.490494\pi\)
\(150\) −7.48594 1.67369i −0.611225 0.136656i
\(151\) 19.2624i 1.56755i 0.621042 + 0.783777i \(0.286710\pi\)
−0.621042 + 0.783777i \(0.713290\pi\)
\(152\) 0.900193 + 4.26493i 0.0730153 + 0.345932i
\(153\) −14.5489 + 14.4449i −1.17621 + 1.16780i
\(154\) 1.47275 0.259686i 0.118678 0.0209261i
\(155\) 1.76455 1.48063i 0.141732 0.118927i
\(156\) −1.12244 0.0510240i −0.0898669 0.00408519i
\(157\) −0.200940 0.0731363i −0.0160368 0.00583691i 0.333989 0.942577i \(-0.391605\pi\)
−0.350026 + 0.936740i \(0.613827\pi\)
\(158\) 0.893115 1.06437i 0.0710524 0.0846770i
\(159\) −15.2554 19.9552i −1.20983 1.58255i
\(160\) −0.654571 + 0.377917i −0.0517484 + 0.0298770i
\(161\) 1.79490 + 0.316489i 0.141458 + 0.0249428i
\(162\) 8.85183 + 1.62639i 0.695465 + 0.127781i
\(163\) 7.51668 + 13.0193i 0.588752 + 1.01975i 0.994396 + 0.105717i \(0.0337138\pi\)
−0.405645 + 0.914031i \(0.632953\pi\)
\(164\) 2.67448 4.63234i 0.208842 0.361725i
\(165\) −1.11718 + 0.579020i −0.0869720 + 0.0450767i
\(166\) 4.14110 11.3776i 0.321412 0.883072i
\(167\) −8.87982 + 3.23199i −0.687141 + 0.250099i −0.661911 0.749583i \(-0.730254\pi\)
−0.0252305 + 0.999682i \(0.508032\pi\)
\(168\) −0.805753 2.57160i −0.0621652 0.198403i
\(169\) 2.18435 + 12.3881i 0.168027 + 0.952929i
\(170\) −5.16533 −0.396163
\(171\) 12.5243 3.76054i 0.957758 0.287575i
\(172\) 7.81457 0.595856
\(173\) 2.33529 + 13.2441i 0.177549 + 1.00693i 0.935161 + 0.354224i \(0.115255\pi\)
−0.757612 + 0.652705i \(0.773634\pi\)
\(174\) 4.16529 + 13.2937i 0.315770 + 1.00779i
\(175\) 6.47502 2.35672i 0.489466 0.178151i
\(176\) 0.328740 0.903205i 0.0247797 0.0680817i
\(177\) −17.9056 + 9.28026i −1.34586 + 0.697547i
\(178\) −3.05514 + 5.29167i −0.228993 + 0.396627i
\(179\) 8.34644 + 14.4565i 0.623842 + 1.08053i 0.988764 + 0.149488i \(0.0477625\pi\)
−0.364921 + 0.931038i \(0.618904\pi\)
\(180\) 1.29391 + 1.86208i 0.0964426 + 0.138791i
\(181\) −10.0398 1.77029i −0.746251 0.131584i −0.212424 0.977178i \(-0.568136\pi\)
−0.533828 + 0.845593i \(0.679247\pi\)
\(182\) 0.874094 0.504658i 0.0647922 0.0374078i
\(183\) 11.3974 + 14.9087i 0.842523 + 1.10209i
\(184\) 0.752970 0.897355i 0.0555097 0.0661539i
\(185\) 2.93084 + 1.06674i 0.215480 + 0.0784281i
\(186\) 5.27310 + 0.239706i 0.386643 + 0.0175761i
\(187\) 5.03184 4.22221i 0.367964 0.308759i
\(188\) 3.11004 0.548383i 0.226823 0.0399950i
\(189\) −7.48576 + 3.05361i −0.544509 + 0.222118i
\(190\) 2.90676 + 1.55086i 0.210878 + 0.112511i
\(191\) 12.0667i 0.873115i −0.899676 0.436558i \(-0.856198\pi\)
0.899676 0.436558i \(-0.143802\pi\)
\(192\) −1.69032 0.377917i −0.121988 0.0272738i
\(193\) −2.14990 2.56215i −0.154753 0.184427i 0.683098 0.730327i \(-0.260632\pi\)
−0.837850 + 0.545900i \(0.816188\pi\)
\(194\) 3.31600 + 9.11063i 0.238075 + 0.654105i
\(195\) −0.574869 + 0.625104i −0.0411672 + 0.0447647i
\(196\) −3.50789 2.94347i −0.250563 0.210248i
\(197\) 5.15098 + 2.97392i 0.366992 + 0.211883i 0.672144 0.740421i \(-0.265374\pi\)
−0.305151 + 0.952304i \(0.598707\pi\)
\(198\) −2.78256 0.756295i −0.197748 0.0537476i
\(199\) 1.94088 11.0073i 0.137585 0.780286i −0.835439 0.549583i \(-0.814786\pi\)
0.973024 0.230703i \(-0.0741024\pi\)
\(200\) 0.769038 4.36143i 0.0543792 0.308400i
\(201\) −2.08099 16.0288i −0.146782 1.13058i
\(202\) 16.2949 + 9.40789i 1.14651 + 0.661937i
\(203\) −9.58634 8.04389i −0.672829 0.564571i
\(204\) −8.71261 8.01243i −0.610005 0.560982i
\(205\) −1.38276 3.79911i −0.0965764 0.265342i
\(206\) 7.36940 + 8.78251i 0.513450 + 0.611906i
\(207\) −2.87145 2.02600i −0.199579 0.140817i
\(208\) 0.648709i 0.0449799i
\(209\) −4.09933 + 0.865240i −0.283557 + 0.0598499i
\(210\) −1.88043 0.782853i −0.129762 0.0540220i
\(211\) −20.9377 + 3.69188i −1.44141 + 0.254159i −0.839045 0.544063i \(-0.816885\pi\)
−0.602364 + 0.798222i \(0.705774\pi\)
\(212\) 11.1093 9.32180i 0.762989 0.640224i
\(213\) −0.00269607 + 0.0593087i −0.000184731 + 0.00406376i
\(214\) −2.21440 0.805976i −0.151373 0.0550954i
\(215\) 3.79664 4.52466i 0.258928 0.308579i
\(216\) −0.705946 + 5.14797i −0.0480336 + 0.350275i
\(217\) −4.10641 + 2.37084i −0.278761 + 0.160943i
\(218\) −6.38297 1.12549i −0.432309 0.0762278i
\(219\) −5.79895 3.70898i −0.391856 0.250629i
\(220\) −0.363243 0.629155i −0.0244898 0.0424176i
\(221\) 2.21662 3.83930i 0.149106 0.258259i
\(222\) 3.28887 + 6.34562i 0.220734 + 0.425890i
\(223\) 4.71184 12.9457i 0.315528 0.866907i −0.675987 0.736914i \(-0.736282\pi\)
0.991515 0.129993i \(-0.0414955\pi\)
\(224\) 1.46205 0.532144i 0.0976876 0.0355554i
\(225\) −13.2313 1.20544i −0.882090 0.0803625i
\(226\) −1.74320 9.88615i −0.115956 0.657617i
\(227\) 16.1886 1.07448 0.537238 0.843430i \(-0.319468\pi\)
0.537238 + 0.843430i \(0.319468\pi\)
\(228\) 2.49727 + 7.12486i 0.165386 + 0.471855i
\(229\) −25.6462 −1.69475 −0.847374 0.530997i \(-0.821817\pi\)
−0.847374 + 0.530997i \(0.821817\pi\)
\(230\) −0.153747 0.871943i −0.0101378 0.0574942i
\(231\) 2.47174 0.774466i 0.162629 0.0509561i
\(232\) −7.55800 + 2.75089i −0.496207 + 0.180605i
\(233\) 3.98107 10.9379i 0.260808 0.716565i −0.738305 0.674467i \(-0.764374\pi\)
0.999113 0.0420981i \(-0.0134042\pi\)
\(234\) −1.93932 + 0.162660i −0.126777 + 0.0106334i
\(235\) 1.19347 2.06715i 0.0778532 0.134846i
\(236\) −5.82188 10.0838i −0.378972 0.656399i
\(237\) 1.29669 2.02737i 0.0842293 0.131692i
\(238\) 10.4713 + 1.84637i 0.678754 + 0.119683i
\(239\) −13.1831 + 7.61128i −0.852746 + 0.492333i −0.861576 0.507628i \(-0.830522\pi\)
0.00883069 + 0.999961i \(0.497189\pi\)
\(240\) −1.04004 + 0.795091i −0.0671343 + 0.0513229i
\(241\) 9.76016 11.6317i 0.628707 0.749264i −0.353834 0.935308i \(-0.615122\pi\)
0.982541 + 0.186044i \(0.0595666\pi\)
\(242\) −9.46848 3.44625i −0.608657 0.221533i
\(243\) 15.5669 + 0.819603i 0.998617 + 0.0525776i
\(244\) −8.29986 + 6.96441i −0.531344 + 0.445851i
\(245\) −3.40855 + 0.601019i −0.217764 + 0.0383977i
\(246\) 3.56079 8.55308i 0.227028 0.545324i
\(247\) −2.40012 + 1.49501i −0.152716 + 0.0951254i
\(248\) 3.04757i 0.193521i
\(249\) 4.57573 20.4660i 0.289975 1.29698i
\(250\) −4.58085 5.45925i −0.289719 0.345273i
\(251\) −3.71032 10.1940i −0.234193 0.643441i −1.00000 0.000369965i \(-0.999882\pi\)
0.765807 0.643071i \(-0.222340\pi\)
\(252\) −1.95745 4.23738i −0.123308 0.266930i
\(253\) 0.862512 + 0.723733i 0.0542257 + 0.0455007i
\(254\) 12.0603 + 6.96300i 0.756728 + 0.436897i
\(255\) −8.87216 + 1.15186i −0.555596 + 0.0721320i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −0.00786014 + 0.0445771i −0.000490302 + 0.00278064i −0.985052 0.172258i \(-0.944894\pi\)
0.984562 + 0.175038i \(0.0560049\pi\)
\(258\) 13.4226 1.74263i 0.835654 0.108491i
\(259\) −5.56017 3.21017i −0.345492 0.199470i
\(260\) −0.375604 0.315169i −0.0232940 0.0195460i
\(261\) 10.1189 + 21.9049i 0.626345 + 1.35588i
\(262\) 3.80673 + 10.4589i 0.235181 + 0.646153i
\(263\) −3.52577 4.20185i −0.217408 0.259097i 0.646307 0.763078i \(-0.276313\pi\)
−0.863715 + 0.503981i \(0.831868\pi\)
\(264\) 0.363243 1.62469i 0.0223561 0.0999925i
\(265\) 10.9612i 0.673342i
\(266\) −5.33830 4.18299i −0.327312 0.256476i
\(267\) −4.06760 + 9.77044i −0.248933 + 0.597941i
\(268\) 9.19012 1.62047i 0.561376 0.0989858i
\(269\) 1.50432 1.26228i 0.0917202 0.0769623i −0.595775 0.803152i \(-0.703155\pi\)
0.687495 + 0.726189i \(0.258710\pi\)
\(270\) 2.63771 + 2.90984i 0.160526 + 0.177087i
\(271\) 19.8494 + 7.22458i 1.20576 + 0.438862i 0.865232 0.501371i \(-0.167171\pi\)
0.340531 + 0.940233i \(0.389393\pi\)
\(272\) 4.39278 5.23511i 0.266351 0.317425i
\(273\) 1.38884 1.06174i 0.0840563 0.0642594i
\(274\) 4.29839 2.48168i 0.259675 0.149924i
\(275\) 4.19208 + 0.739177i 0.252792 + 0.0445741i
\(276\) 1.09322 1.70924i 0.0658042 0.102884i
\(277\) −3.91899 6.78789i −0.235469 0.407845i 0.723940 0.689863i \(-0.242329\pi\)
−0.959409 + 0.282018i \(0.908996\pi\)
\(278\) 1.80278 3.12251i 0.108124 0.187276i
\(279\) 9.11072 0.764161i 0.545445 0.0457491i
\(280\) 0.402213 1.10507i 0.0240368 0.0660406i
\(281\) −11.0064 + 4.00600i −0.656587 + 0.238978i −0.648762 0.760991i \(-0.724713\pi\)
−0.00782495 + 0.999969i \(0.502491\pi\)
\(282\) 5.21962 1.63545i 0.310824 0.0973898i
\(283\) 1.21905 + 6.91356i 0.0724648 + 0.410968i 0.999364 + 0.0356581i \(0.0113527\pi\)
−0.926899 + 0.375310i \(0.877536\pi\)
\(284\) −0.0342772 −0.00203398
\(285\) 5.33859 + 2.01562i 0.316231 + 0.119395i
\(286\) 0.623520 0.0368695
\(287\) 1.44517 + 8.19595i 0.0853055 + 0.483791i
\(288\) −2.98763 0.272187i −0.176048 0.0160388i
\(289\) 27.9116 10.1590i 1.64186 0.597587i
\(290\) −2.07921 + 5.71259i −0.122096 + 0.335455i
\(291\) 7.72733 + 14.9093i 0.452984 + 0.873998i
\(292\) 1.98713 3.44181i 0.116288 0.201417i
\(293\) −1.29095 2.23599i −0.0754180 0.130628i 0.825850 0.563890i \(-0.190696\pi\)
−0.901268 + 0.433262i \(0.857362\pi\)
\(294\) −6.68165 4.27355i −0.389682 0.249239i
\(295\) −8.66705 1.52824i −0.504615 0.0889773i
\(296\) −3.57364 + 2.06324i −0.207713 + 0.119923i
\(297\) −4.94808 0.678535i −0.287117 0.0393726i
\(298\) −12.3170 + 14.6788i −0.713502 + 0.850319i
\(299\) 0.714078 + 0.259903i 0.0412962 + 0.0150306i
\(300\) 0.348339 7.66285i 0.0201114 0.442415i
\(301\) −9.31401 + 7.81539i −0.536851 + 0.450471i
\(302\) −18.9698 + 3.34489i −1.09159 + 0.192477i
\(303\) 30.0867 + 12.5256i 1.72844 + 0.719577i
\(304\) −4.04382 + 1.62712i −0.231929 + 0.0933215i
\(305\) 8.18923i 0.468914i
\(306\) −16.7518 11.8195i −0.957639 0.675679i
\(307\) −1.26629 1.50910i −0.0722709 0.0861290i 0.728698 0.684836i \(-0.240126\pi\)
−0.800968 + 0.598707i \(0.795682\pi\)
\(308\) 0.511482 + 1.40528i 0.0291444 + 0.0800735i
\(309\) 14.6164 + 13.4418i 0.831499 + 0.764677i
\(310\) 1.76455 + 1.48063i 0.100220 + 0.0840944i
\(311\) 22.4909 + 12.9851i 1.27534 + 0.736320i 0.975989 0.217822i \(-0.0698952\pi\)
0.299355 + 0.954142i \(0.403229\pi\)
\(312\) −0.144660 1.11425i −0.00818978 0.0630817i
\(313\) −2.32842 + 13.2051i −0.131610 + 0.746398i 0.845551 + 0.533895i \(0.179272\pi\)
−0.977161 + 0.212502i \(0.931839\pi\)
\(314\) 0.0371323 0.210588i 0.00209550 0.0118841i
\(315\) −3.40446 0.925326i −0.191820 0.0521362i
\(316\) 1.20329 + 0.694720i 0.0676904 + 0.0390811i
\(317\) −23.3056 19.5557i −1.30897 1.09836i −0.988519 0.151095i \(-0.951720\pi\)
−0.320454 0.947264i \(-0.603835\pi\)
\(318\) 17.0030 18.4888i 0.953479 1.03680i
\(319\) −2.64407 7.26453i −0.148040 0.406736i
\(320\) −0.485841 0.579002i −0.0271593 0.0323672i
\(321\) −3.98326 0.890567i −0.222324 0.0497066i
\(322\) 1.82259i 0.101569i
\(323\) −29.4927 4.18776i −1.64102 0.233013i
\(324\) −0.0645734 + 8.99977i −0.00358741 + 0.499987i
\(325\) 2.82930 0.498882i 0.156941 0.0276730i
\(326\) −11.5162 + 9.66326i −0.637824 + 0.535198i
\(327\) −11.2146 0.509796i −0.620169 0.0281918i
\(328\) 5.02638 + 1.82945i 0.277536 + 0.101015i
\(329\) −3.15834 + 3.76397i −0.174125 + 0.207514i
\(330\) −0.764219 0.999657i −0.0420689 0.0550293i
\(331\) −9.22014 + 5.32325i −0.506785 + 0.292592i −0.731511 0.681830i \(-0.761185\pi\)
0.224726 + 0.974422i \(0.427851\pi\)
\(332\) 11.9238 + 2.10249i 0.654405 + 0.115389i
\(333\) 7.06413 + 10.1660i 0.387112 + 0.557096i
\(334\) −4.72485 8.18369i −0.258533 0.447791i
\(335\) 3.52668 6.10839i 0.192683 0.333737i
\(336\) 2.39261 1.24006i 0.130528 0.0676511i
\(337\) −2.38138 + 6.54278i −0.129722 + 0.356408i −0.987501 0.157610i \(-0.949621\pi\)
0.857780 + 0.514018i \(0.171843\pi\)
\(338\) −11.8206 + 4.30233i −0.642954 + 0.234016i
\(339\) −5.19876 16.5921i −0.282358 0.901158i
\(340\) −0.896950 5.08686i −0.0486440 0.275874i
\(341\) −2.92924 −0.158627
\(342\) 5.87823 + 11.6810i 0.317858 + 0.631638i
\(343\) 18.0159 0.972770
\(344\) 1.35699 + 7.69585i 0.0731638 + 0.414932i
\(345\) −0.458523 1.46340i −0.0246860 0.0787866i
\(346\) −12.6374 + 4.59962i −0.679389 + 0.247277i
\(347\) −9.63081 + 26.4604i −0.517009 + 1.42047i 0.356790 + 0.934185i \(0.383871\pi\)
−0.873799 + 0.486287i \(0.838351\pi\)
\(348\) −12.3684 + 6.41044i −0.663018 + 0.343635i
\(349\) 9.79155 16.9595i 0.524130 0.907819i −0.475476 0.879729i \(-0.657724\pi\)
0.999605 0.0280904i \(-0.00894261\pi\)
\(350\) 3.44529 + 5.96741i 0.184158 + 0.318972i
\(351\) −3.29477 + 0.711853i −0.175862 + 0.0379959i
\(352\) 0.946569 + 0.166906i 0.0504523 + 0.00889610i
\(353\) −3.55050 + 2.04988i −0.188974 + 0.109104i −0.591502 0.806303i \(-0.701465\pi\)
0.402528 + 0.915408i \(0.368132\pi\)
\(354\) −12.2485 16.0220i −0.651002 0.851561i
\(355\) −0.0166533 + 0.0198466i −0.000883864 + 0.00105335i
\(356\) −5.74179 2.08984i −0.304314 0.110761i
\(357\) 18.3976 + 0.836324i 0.973706 + 0.0442629i
\(358\) −12.7875 + 10.7300i −0.675840 + 0.567097i
\(359\) −5.52450 + 0.974118i −0.291572 + 0.0514120i −0.317521 0.948251i \(-0.602850\pi\)
0.0259490 + 0.999663i \(0.491739\pi\)
\(360\) −1.60911 + 1.59760i −0.0848074 + 0.0842011i
\(361\) 15.3395 + 11.2117i 0.807340 + 0.590087i
\(362\) 10.1947i 0.535820i
\(363\) −17.0319 3.80795i −0.893943 0.199865i
\(364\) 0.648776 + 0.773182i 0.0340051 + 0.0405257i
\(365\) −1.02739 2.82273i −0.0537760 0.147748i
\(366\) −12.7031 + 13.8132i −0.664001 + 0.722026i
\(367\) −2.28539 1.91767i −0.119296 0.100101i 0.581188 0.813769i \(-0.302588\pi\)
−0.700484 + 0.713668i \(0.747033\pi\)
\(368\) 1.01447 + 0.585707i 0.0528831 + 0.0305321i
\(369\) 4.20882 15.4851i 0.219103 0.806123i
\(370\) −0.541597 + 3.07155i −0.0281563 + 0.159682i
\(371\) −3.91814 + 22.2209i −0.203420 + 1.15365i
\(372\) 0.679600 + 5.23462i 0.0352356 + 0.271402i
\(373\) −18.2415 10.5317i −0.944510 0.545313i −0.0531391 0.998587i \(-0.516923\pi\)
−0.891371 + 0.453274i \(0.850256\pi\)
\(374\) 5.03184 + 4.22221i 0.260190 + 0.218325i
\(375\) −9.08564 8.35548i −0.469180 0.431475i
\(376\) 1.08010 + 2.96756i 0.0557021 + 0.153040i
\(377\) −3.35381 3.99691i −0.172730 0.205852i
\(378\) −4.30711 6.84178i −0.221534 0.351903i
\(379\) 9.54057i 0.490066i 0.969515 + 0.245033i \(0.0787988\pi\)
−0.969515 + 0.245033i \(0.921201\pi\)
\(380\) −1.02255 + 3.13190i −0.0524557 + 0.160663i
\(381\) 22.2679 + 9.27048i 1.14082 + 0.474941i
\(382\) 11.8834 2.09536i 0.608006 0.107208i
\(383\) 5.96084 5.00173i 0.304584 0.255577i −0.477665 0.878542i \(-0.658517\pi\)
0.782249 + 0.622965i \(0.214072\pi\)
\(384\) 0.0786547 1.73026i 0.00401383 0.0882972i
\(385\) 1.06216 + 0.386595i 0.0541328 + 0.0197027i
\(386\) 2.14990 2.56215i 0.109427 0.130410i
\(387\) 22.6665 5.98640i 1.15220 0.304306i
\(388\) −8.39641 + 4.84767i −0.426263 + 0.246103i
\(389\) 9.63724 + 1.69931i 0.488627 + 0.0861582i 0.412533 0.910942i \(-0.364644\pi\)
0.0760939 + 0.997101i \(0.475755\pi\)
\(390\) −0.715433 0.457587i −0.0362273 0.0231708i
\(391\) 4.00269 + 6.93287i 0.202425 + 0.350610i
\(392\) 2.28961 3.96572i 0.115643 0.200299i
\(393\) 8.87089 + 17.1157i 0.447477 + 0.863373i
\(394\) −2.03428 + 5.58914i −0.102486 + 0.281577i
\(395\) 0.986853 0.359185i 0.0496539 0.0180726i
\(396\) 0.261618 2.87162i 0.0131468 0.144304i
\(397\) −2.05329 11.6448i −0.103052 0.584435i −0.991981 0.126390i \(-0.959661\pi\)
0.888929 0.458045i \(-0.151450\pi\)
\(398\) 11.1771 0.560257
\(399\) −10.1020 5.99443i −0.505735 0.300097i
\(400\) 4.42872 0.221436
\(401\) −3.59086 20.3648i −0.179319 1.01697i −0.933039 0.359774i \(-0.882854\pi\)
0.753720 0.657195i \(-0.228257\pi\)
\(402\) 15.4239 4.83275i 0.769275 0.241035i
\(403\) −1.85776 + 0.676169i −0.0925416 + 0.0336824i
\(404\) −6.43537 + 17.6810i −0.320172 + 0.879665i
\(405\) 5.17952 + 4.40984i 0.257372 + 0.219127i
\(406\) 6.25704 10.8375i 0.310532 0.537857i
\(407\) −1.98313 3.43488i −0.0982999 0.170260i
\(408\) 6.37778 9.97159i 0.315747 0.493667i
\(409\) 3.39761 + 0.599090i 0.168001 + 0.0296231i 0.257016 0.966407i \(-0.417261\pi\)
−0.0890148 + 0.996030i \(0.528372\pi\)
\(410\) 3.50128 2.02147i 0.172916 0.0998331i
\(411\) 6.82966 5.22115i 0.336882 0.257540i
\(412\) −7.36940 + 8.78251i −0.363064 + 0.432683i
\(413\) 17.0238 + 6.19617i 0.837688 + 0.304893i
\(414\) 1.49660 3.17964i 0.0735538 0.156271i
\(415\) 7.01043 5.88245i 0.344128 0.288758i
\(416\) 0.638853 0.112647i 0.0313224 0.00552298i
\(417\) 2.40021 5.76535i 0.117539 0.282331i
\(418\) −1.56394 3.88681i −0.0764946 0.190110i
\(419\) 25.3156i 1.23675i −0.785884 0.618374i \(-0.787792\pi\)
0.785884 0.618374i \(-0.212208\pi\)
\(420\) 0.444427 1.98780i 0.0216858 0.0969948i
\(421\) 20.4536 + 24.3756i 0.996845 + 1.18799i 0.982150 + 0.188102i \(0.0602334\pi\)
0.0146955 + 0.999892i \(0.495322\pi\)
\(422\) −7.27158 19.9785i −0.353975 0.972538i
\(423\) 8.60071 3.97307i 0.418181 0.193178i
\(424\) 11.1093 + 9.32180i 0.539515 + 0.452706i
\(425\) 26.2108 + 15.1328i 1.27141 + 0.734049i
\(426\) −0.0588758 + 0.00764373i −0.00285254 + 0.000370340i
\(427\) 2.92728 16.6014i 0.141661 0.803400i
\(428\) 0.409205 2.32072i 0.0197797 0.112176i
\(429\) 1.07098 0.139043i 0.0517074 0.00671308i
\(430\) 5.11520 + 2.95326i 0.246677 + 0.142419i
\(431\) −25.2345 21.1742i −1.21550 1.01993i −0.999048 0.0436350i \(-0.986106\pi\)
−0.216455 0.976293i \(-0.569449\pi\)
\(432\) −5.19235 + 0.198715i −0.249817 + 0.00956069i
\(433\) −5.46188 15.0064i −0.262481 0.721161i −0.998999 0.0447423i \(-0.985753\pi\)
0.736517 0.676419i \(-0.236469\pi\)
\(434\) −3.04789 3.63233i −0.146303 0.174358i
\(435\) −2.29744 + 10.2758i −0.110154 + 0.492688i
\(436\) 6.48144i 0.310405i
\(437\) −0.170932 5.10321i −0.00817679 0.244120i
\(438\) 2.64565 6.35490i 0.126414 0.303649i
\(439\) −30.5401 + 5.38505i −1.45760 + 0.257014i −0.845589 0.533835i \(-0.820750\pi\)
−0.612011 + 0.790849i \(0.709639\pi\)
\(440\) 0.556520 0.466976i 0.0265311 0.0222622i
\(441\) −12.4296 5.85041i −0.591887 0.278591i
\(442\) 4.16589 + 1.51626i 0.198151 + 0.0721211i
\(443\) 12.5287 14.9311i 0.595257 0.709400i −0.381350 0.924431i \(-0.624541\pi\)
0.976607 + 0.215031i \(0.0689852\pi\)
\(444\) −5.67811 + 4.34081i −0.269471 + 0.206006i
\(445\) −3.99962 + 2.30918i −0.189600 + 0.109466i
\(446\) 13.5672 + 2.39226i 0.642426 + 0.113277i
\(447\) −17.8827 + 27.9594i −0.845823 + 1.32244i
\(448\) 0.777943 + 1.34744i 0.0367544 + 0.0636604i
\(449\) 6.61607 11.4594i 0.312232 0.540801i −0.666613 0.745404i \(-0.732257\pi\)
0.978845 + 0.204602i \(0.0655901\pi\)
\(450\) −1.11047 13.2397i −0.0523483 0.624123i
\(451\) −1.75842 + 4.83122i −0.0828007 + 0.227493i
\(452\) 9.43326 3.43342i 0.443703 0.161495i
\(453\) −31.8373 + 9.97551i −1.49585 + 0.468690i
\(454\) 2.81112 + 15.9427i 0.131933 + 0.748227i
\(455\) 0.762876 0.0357642
\(456\) −6.58297 + 3.69655i −0.308276 + 0.173107i
\(457\) −15.4038 −0.720559 −0.360279 0.932844i \(-0.617319\pi\)
−0.360279 + 0.932844i \(0.617319\pi\)
\(458\) −4.45341 25.2566i −0.208094 1.18016i
\(459\) −31.4093 16.5661i −1.46606 0.773238i
\(460\) 0.831999 0.302823i 0.0387921 0.0141192i
\(461\) −5.65076 + 15.5253i −0.263182 + 0.723087i 0.735766 + 0.677236i \(0.236822\pi\)
−0.998948 + 0.0458511i \(0.985400\pi\)
\(462\) 1.19191 + 2.29971i 0.0554529 + 0.106992i
\(463\) −4.69170 + 8.12625i −0.218042 + 0.377659i −0.954209 0.299140i \(-0.903300\pi\)
0.736168 + 0.676799i \(0.236634\pi\)
\(464\) −4.02153 6.96549i −0.186695 0.323365i
\(465\) 3.36103 + 2.14970i 0.155864 + 0.0996899i
\(466\) 11.4630 + 2.02124i 0.531014 + 0.0936321i
\(467\) 18.5458 10.7074i 0.858196 0.495480i −0.00521153 0.999986i \(-0.501659\pi\)
0.863408 + 0.504507i \(0.168326\pi\)
\(468\) −0.496948 1.88161i −0.0229714 0.0869774i
\(469\) −9.33287 + 11.1225i −0.430952 + 0.513588i
\(470\) 2.24298 + 0.816380i 0.103461 + 0.0376568i
\(471\) 0.0168192 0.369993i 0.000774989 0.0170484i
\(472\) 8.91965 7.48447i 0.410560 0.344501i
\(473\) −7.39703 + 1.30430i −0.340116 + 0.0599716i
\(474\) 2.22174 + 0.924946i 0.102048 + 0.0424842i
\(475\) −10.2064 16.3855i −0.468302 0.751820i
\(476\) 10.6328i 0.487356i
\(477\) 25.0820 35.5486i 1.14842 1.62766i
\(478\) −9.78488 11.6612i −0.447550 0.533369i
\(479\) 11.4165 + 31.3665i 0.521632 + 1.43317i 0.868703 + 0.495333i \(0.164954\pi\)
−0.347071 + 0.937839i \(0.612824\pi\)
\(480\) −0.963613 0.886174i −0.0439827 0.0404481i
\(481\) −2.05061 1.72067i −0.0934998 0.0784557i
\(482\) 13.1498 + 7.59206i 0.598959 + 0.345809i
\(483\) 0.406432 + 3.13054i 0.0184933 + 0.142444i
\(484\) 1.74971 9.92307i 0.0795320 0.451049i
\(485\) −1.27250 + 7.21673i −0.0577815 + 0.327695i
\(486\) 1.89601 + 15.4727i 0.0860048 + 0.701857i
\(487\) −28.9750 16.7288i −1.31298 0.758052i −0.330395 0.943843i \(-0.607182\pi\)
−0.982589 + 0.185791i \(0.940515\pi\)
\(488\) −8.29986 6.96441i −0.375717 0.315264i
\(489\) −17.6258 + 19.1660i −0.797066 + 0.866718i
\(490\) −1.18378 3.25240i −0.0534775 0.146928i
\(491\) 0.635055 + 0.756829i 0.0286596 + 0.0341552i 0.780184 0.625550i \(-0.215125\pi\)
−0.751524 + 0.659705i \(0.770681\pi\)
\(492\) 9.04146 + 2.02147i 0.407621 + 0.0911347i
\(493\) 54.9658i 2.47554i
\(494\) −1.88908 2.10405i −0.0849936 0.0946657i
\(495\) −1.53557 1.54663i −0.0690188 0.0695158i
\(496\) −3.00127 + 0.529205i −0.134761 + 0.0237620i
\(497\) 0.0408543 0.0342808i 0.00183256 0.00153770i
\(498\) 20.9496 + 0.952333i 0.938776 + 0.0426751i
\(499\) −4.11402 1.49738i −0.184169 0.0670319i 0.248290 0.968686i \(-0.420132\pi\)
−0.432458 + 0.901654i \(0.642354\pi\)
\(500\) 4.58085 5.45925i 0.204862 0.244145i
\(501\) −9.94052 13.0030i −0.444110 0.580930i
\(502\) 9.39486 5.42413i 0.419313 0.242091i
\(503\) 31.7905 + 5.60552i 1.41747 + 0.249938i 0.829301 0.558802i \(-0.188739\pi\)
0.588167 + 0.808740i \(0.299850\pi\)
\(504\) 3.83310 2.66352i 0.170740 0.118643i
\(505\) 7.11080 + 12.3163i 0.316426 + 0.548067i
\(506\) −0.562965 + 0.975083i −0.0250268 + 0.0433477i
\(507\) −19.3440 + 10.0258i −0.859097 + 0.445261i
\(508\) −4.76297 + 13.0862i −0.211323 + 0.580604i
\(509\) 21.2608 7.73831i 0.942370 0.342994i 0.175268 0.984521i \(-0.443921\pi\)
0.767101 + 0.641526i \(0.221698\pi\)
\(510\) −2.67499 8.53735i −0.118451 0.378040i
\(511\) 1.07375 + 6.08956i 0.0475000 + 0.269386i
\(512\) 1.00000 0.0441942
\(513\) 12.7015 + 18.7529i 0.560785 + 0.827962i
\(514\) −0.0452647 −0.00199654
\(515\) 1.50474 + 8.53380i 0.0663067 + 0.376044i
\(516\) 4.04696 + 12.9161i 0.178158 + 0.568598i
\(517\) −2.85234 + 1.03817i −0.125446 + 0.0456585i
\(518\) 2.19588 6.03314i 0.0964815 0.265081i
\(519\) −20.6807 + 10.7186i −0.907781 + 0.470493i
\(520\) 0.245158 0.424626i 0.0107509 0.0186211i
\(521\) 4.86213 + 8.42145i 0.213014 + 0.368950i 0.952656 0.304049i \(-0.0983388\pi\)
−0.739643 + 0.673000i \(0.765005\pi\)
\(522\) −19.8150 + 13.7689i −0.867278 + 0.602649i
\(523\) 33.5671 + 5.91879i 1.46779 + 0.258810i 0.849686 0.527288i \(-0.176791\pi\)
0.618101 + 0.786099i \(0.287902\pi\)
\(524\) −9.63898 + 5.56507i −0.421081 + 0.243111i
\(525\) 7.24847 + 9.48155i 0.316349 + 0.413809i
\(526\) 3.52577 4.20185i 0.153731 0.183209i
\(527\) −19.5709 7.12324i −0.852523 0.310293i
\(528\) 1.66308 + 0.0756007i 0.0723763 + 0.00329010i
\(529\) 16.5678 13.9021i 0.720341 0.604438i
\(530\) 10.7947 1.90339i 0.468891 0.0826782i
\(531\) −24.6114 24.7886i −1.06804 1.07573i
\(532\) 3.19246 5.98357i 0.138411 0.259420i
\(533\) 3.46992i 0.150299i
\(534\) −10.3283 2.30918i −0.446951 0.0999281i
\(535\) −1.14489 1.36443i −0.0494980 0.0589894i
\(536\) 3.19170 + 8.76911i 0.137860 + 0.378768i
\(537\) −19.5715 + 21.2818i −0.844572 + 0.918376i
\(538\) 1.50432 + 1.26228i 0.0648559 + 0.0544206i
\(539\) 3.81174 + 2.20071i 0.164183 + 0.0947911i
\(540\) −2.40760 + 3.10293i −0.103607 + 0.133529i
\(541\) 0.180608 1.02428i 0.00776495 0.0440372i −0.980679 0.195623i \(-0.937327\pi\)
0.988444 + 0.151586i \(0.0484381\pi\)
\(542\) −3.66802 + 20.8024i −0.157555 + 0.893537i
\(543\) −2.27338 17.5107i −0.0975603 0.751457i
\(544\) 5.91837 + 3.41697i 0.253748 + 0.146502i
\(545\) −3.75277 3.14895i −0.160751 0.134886i
\(546\) 1.28678 + 1.18337i 0.0550691 + 0.0506435i
\(547\) 8.86889 + 24.3671i 0.379207 + 1.04186i 0.971686 + 0.236276i \(0.0759269\pi\)
−0.592480 + 0.805586i \(0.701851\pi\)
\(548\) 3.19038 + 3.80215i 0.136286 + 0.162420i
\(549\) −18.7390 + 26.5587i −0.799760 + 1.13350i
\(550\) 4.25675i 0.181509i
\(551\) −16.5032 + 30.9317i −0.703060 + 1.31773i
\(552\) 1.87311 + 0.779806i 0.0797248 + 0.0331907i
\(553\) −2.12897 + 0.375395i −0.0905330 + 0.0159634i
\(554\) 6.00424 5.03816i 0.255096 0.214051i
\(555\) −0.245319 + 5.39658i −0.0104132 + 0.229072i
\(556\) 3.38812 + 1.23318i 0.143688 + 0.0522983i
\(557\) −2.42914 + 2.89494i −0.102926 + 0.122662i −0.815048 0.579393i \(-0.803290\pi\)
0.712122 + 0.702055i \(0.247734\pi\)
\(558\) 2.33461 + 8.83962i 0.0988320 + 0.374211i
\(559\) −4.39021 + 2.53469i −0.185686 + 0.107206i
\(560\) 1.15813 + 0.204209i 0.0489397 + 0.00862940i
\(561\) 9.58440 + 6.13013i 0.404654 + 0.258814i
\(562\) −5.85639 10.1436i −0.247037 0.427880i
\(563\) 5.99208 10.3786i 0.252536 0.437406i −0.711687 0.702496i \(-0.752069\pi\)
0.964223 + 0.265091i \(0.0854020\pi\)
\(564\) 2.51698 + 4.85633i 0.105984 + 0.204488i
\(565\) 2.59510 7.12998i 0.109177 0.299960i
\(566\) −6.59684 + 2.40105i −0.277286 + 0.100924i
\(567\) −8.92374 10.7912i −0.374762 0.453188i
\(568\) −0.00595218 0.0337565i −0.000249748 0.00141639i
\(569\) 11.2148 0.470147 0.235074 0.971978i \(-0.424467\pi\)
0.235074 + 0.971978i \(0.424467\pi\)
\(570\) −1.05796 + 5.60749i −0.0443132 + 0.234872i
\(571\) 16.2525 0.680144 0.340072 0.940399i \(-0.389548\pi\)
0.340072 + 0.940399i \(0.389548\pi\)
\(572\) 0.108273 + 0.614047i 0.00452713 + 0.0256746i
\(573\) 19.9440 6.24902i 0.833174 0.261057i
\(574\) −7.82048 + 2.84642i −0.326421 + 0.118807i
\(575\) −1.77435 + 4.87499i −0.0739956 + 0.203301i
\(576\) −0.250744 2.98950i −0.0104477 0.124563i
\(577\) −4.02000 + 6.96284i −0.167355 + 0.289867i −0.937489 0.348015i \(-0.886856\pi\)
0.770134 + 0.637882i \(0.220189\pi\)
\(578\) 14.8514 + 25.7234i 0.617738 + 1.06995i
\(579\) 3.12138 4.88025i 0.129720 0.202816i
\(580\) −5.98686 1.05564i −0.248591 0.0438333i
\(581\) −16.3145 + 9.41916i −0.676838 + 0.390772i
\(582\) −13.3409 + 10.1989i −0.553000 + 0.422758i
\(583\) −8.95984 + 10.6779i −0.371079 + 0.442234i
\(584\) 3.73458 + 1.35928i 0.154538 + 0.0562473i
\(585\) −1.33089 0.626428i −0.0550257 0.0258996i
\(586\) 1.97785 1.65961i 0.0817041 0.0685579i
\(587\) −19.5628 + 3.44945i −0.807444 + 0.142374i −0.562108 0.827064i \(-0.690009\pi\)
−0.245336 + 0.969438i \(0.578898\pi\)
\(588\) 3.04837 7.32224i 0.125713 0.301964i
\(589\) 8.87470 + 9.88463i 0.365676 + 0.407289i
\(590\) 8.80076i 0.362321i
\(591\) −2.24779 + 10.0537i −0.0924617 + 0.413556i
\(592\) −2.65245 3.16107i −0.109015 0.129919i
\(593\) −7.64203 20.9963i −0.313821 0.862215i −0.991876 0.127205i \(-0.959399\pi\)
0.678056 0.735010i \(-0.262823\pi\)
\(594\) −0.190999 4.99074i −0.00783679 0.204772i
\(595\) 6.15644 + 5.16587i 0.252390 + 0.211780i
\(596\) −16.5946 9.58089i −0.679741 0.392449i
\(597\) 19.1982 2.49246i 0.785729 0.102010i
\(598\) −0.131956 + 0.748362i −0.00539610 + 0.0306028i
\(599\) 2.89198 16.4012i 0.118163 0.670136i −0.866972 0.498356i \(-0.833937\pi\)
0.985135 0.171780i \(-0.0549517\pi\)
\(600\) 7.60692 0.987592i 0.310551 0.0403183i
\(601\) 17.9204 + 10.3464i 0.730990 + 0.422037i 0.818784 0.574101i \(-0.194648\pi\)
−0.0877940 + 0.996139i \(0.527982\pi\)
\(602\) −9.31401 7.81539i −0.379611 0.318531i
\(603\) 25.4150 11.7404i 1.03498 0.478106i
\(604\) −6.58814 18.1008i −0.268068 0.736510i
\(605\) −4.89540 5.83411i −0.199026 0.237191i
\(606\) −7.11080 + 31.8047i −0.288857 + 1.29198i
\(607\) 39.3916i 1.59886i 0.600761 + 0.799428i \(0.294864\pi\)
−0.600761 + 0.799428i \(0.705136\pi\)
\(608\) −2.30460 3.69984i −0.0934638 0.150048i
\(609\) 8.33058 20.0102i 0.337572 0.810854i
\(610\) −8.06482 + 1.42205i −0.326535 + 0.0575769i
\(611\) −1.56934 + 1.31683i −0.0634888 + 0.0532734i
\(612\) 8.73106 18.5498i 0.352932 0.749831i
\(613\) −26.4005 9.60900i −1.06631 0.388104i −0.251512 0.967854i \(-0.580928\pi\)
−0.814794 + 0.579750i \(0.803150\pi\)
\(614\) 1.26629 1.50910i 0.0511032 0.0609024i
\(615\) 5.56314 4.25292i 0.224328 0.171494i
\(616\) −1.29512 + 0.747736i −0.0521818 + 0.0301272i
\(617\) 20.3648 + 3.59086i 0.819854 + 0.144562i 0.567817 0.823155i \(-0.307788\pi\)
0.252038 + 0.967717i \(0.418899\pi\)
\(618\) −10.6995 + 16.7285i −0.430396 + 0.672919i
\(619\) 16.8830 + 29.2423i 0.678586 + 1.17535i 0.975407 + 0.220412i \(0.0707402\pi\)
−0.296821 + 0.954933i \(0.595926\pi\)
\(620\) −1.15173 + 1.99485i −0.0462545 + 0.0801152i
\(621\) 1.86156 5.79519i 0.0747019 0.232553i
\(622\) −8.88236 + 24.4041i −0.356150 + 0.978515i
\(623\) 8.93358 3.25156i 0.357916 0.130271i
\(624\) 1.07220 0.335949i 0.0429222 0.0134487i
\(625\) 2.90984 + 16.5025i 0.116394 + 0.660101i
\(626\) −13.4088 −0.535925
\(627\) −3.55302 6.32736i −0.141894 0.252690i
\(628\) 0.213836 0.00853299
\(629\) −4.89690 27.7717i −0.195252 1.10733i
\(630\) 0.320089 3.51342i 0.0127527 0.139978i
\(631\) −35.0060 + 12.7411i −1.39357 + 0.507217i −0.926262 0.376880i \(-0.876997\pi\)
−0.467304 + 0.884096i \(0.654775\pi\)
\(632\) −0.475217 + 1.30565i −0.0189031 + 0.0519359i
\(633\) −16.9451 32.6942i −0.673506 1.29948i
\(634\) 15.2117 26.3474i 0.604132 1.04639i
\(635\) 5.26287 + 9.11556i 0.208851 + 0.361740i
\(636\) 21.1604 + 13.5341i 0.839066 + 0.536662i
\(637\) 2.92545 + 0.515836i 0.115911 + 0.0204382i
\(638\) 6.69503 3.86538i 0.265059 0.153032i
\(639\) −0.0994226 + 0.0262583i −0.00393310 + 0.00103876i
\(640\) 0.485841 0.579002i 0.0192045 0.0228871i
\(641\) −7.37099 2.68282i −0.291137 0.105965i 0.192323 0.981332i \(-0.438398\pi\)
−0.483460 + 0.875367i \(0.660620\pi\)
\(642\) 0.185351 4.07739i 0.00731523 0.160922i
\(643\) 29.9819 25.1578i 1.18237 0.992126i 0.182410 0.983223i \(-0.441610\pi\)
0.999960 0.00890393i \(-0.00283425\pi\)
\(644\) −1.79490 + 0.316489i −0.0707289 + 0.0124714i
\(645\) 9.44461 + 3.93195i 0.371881 + 0.154820i
\(646\) −0.997207 29.7718i −0.0392346 1.17136i
\(647\) 6.21339i 0.244274i 0.992513 + 0.122137i \(0.0389747\pi\)
−0.992513 + 0.122137i \(0.961025\pi\)
\(648\) −8.87425 + 1.49920i −0.348614 + 0.0588942i
\(649\) 7.19386 + 8.57331i 0.282384 + 0.336532i
\(650\) 0.982605 + 2.69969i 0.0385410 + 0.105890i
\(651\) −6.04516 5.55935i −0.236929 0.217888i
\(652\) −11.5162 9.66326i −0.451010 0.378442i
\(653\) −23.3831 13.5002i −0.915050 0.528304i −0.0329976 0.999455i \(-0.510505\pi\)
−0.882053 + 0.471151i \(0.843839\pi\)
\(654\) −1.44534 11.1327i −0.0565174 0.435325i
\(655\) −1.46082 + 8.28473i −0.0570790 + 0.323711i
\(656\) −0.928838 + 5.26770i −0.0362650 + 0.205669i
\(657\) 3.12714 11.5054i 0.122001 0.448868i
\(658\) −4.25522 2.45676i −0.165886 0.0957743i
\(659\) 23.3482 + 19.5915i 0.909517 + 0.763176i 0.972027 0.234869i \(-0.0754660\pi\)
−0.0625097 + 0.998044i \(0.519910\pi\)
\(660\) 0.851765 0.926197i 0.0331549 0.0360522i
\(661\) −11.2133 30.8082i −0.436146 1.19830i −0.941980 0.335670i \(-0.891037\pi\)
0.505834 0.862631i \(-0.331185\pi\)
\(662\) −6.84344 8.15570i −0.265978 0.316980i
\(663\) 7.49360 + 1.67540i 0.291027 + 0.0650671i
\(664\) 12.1078i 0.469873i
\(665\) −1.91347 4.75550i −0.0742013 0.184410i
\(666\) −8.78493 + 8.72213i −0.340409 + 0.337975i
\(667\) 9.27861 1.63607i 0.359269 0.0633489i
\(668\) 7.23890 6.07416i 0.280081 0.235016i
\(669\) 23.8370 + 1.08359i 0.921591 + 0.0418939i
\(670\) 6.62799 + 2.41239i 0.256062 + 0.0931989i
\(671\) 6.69399 7.97759i 0.258419 0.307971i
\(672\) 1.63670 + 2.14093i 0.0631370 + 0.0825880i
\(673\) 26.7750 15.4586i 1.03210 0.595884i 0.114516 0.993421i \(-0.463468\pi\)
0.917586 + 0.397537i \(0.130135\pi\)
\(674\) −6.85690 1.20906i −0.264118 0.0465711i
\(675\) −4.85980 22.4933i −0.187054 0.865766i
\(676\) −6.28959 10.8939i −0.241907 0.418996i
\(677\) −19.6720 + 34.0729i −0.756057 + 1.30953i 0.188791 + 0.982017i \(0.439543\pi\)
−0.944847 + 0.327511i \(0.893790\pi\)
\(678\) 15.4373 8.00096i 0.592864 0.307275i
\(679\) 5.15932 14.1751i 0.197996 0.543991i
\(680\) 4.85382 1.76665i 0.186136 0.0677478i
\(681\) 8.38366 + 26.7568i 0.321263 + 1.02532i
\(682\) −0.508657 2.88474i −0.0194775 0.110462i
\(683\) 12.0176 0.459840 0.229920 0.973210i \(-0.426154\pi\)
0.229920 + 0.973210i \(0.426154\pi\)
\(684\) −10.4828 + 7.81732i −0.400821 + 0.298903i
\(685\) 3.75147 0.143336
\(686\) 3.12844 + 17.7422i 0.119444 + 0.677402i
\(687\) −13.2815 42.3885i −0.506720 1.61722i
\(688\) −7.34330 + 2.67274i −0.279961 + 0.101897i
\(689\) −3.21761 + 8.84031i −0.122581 + 0.336789i
\(690\) 1.36154 0.705673i 0.0518330 0.0268645i
\(691\) −17.5214 + 30.3479i −0.666544 + 1.15449i 0.312320 + 0.949977i \(0.398894\pi\)
−0.978864 + 0.204512i \(0.934439\pi\)
\(692\) −6.72420 11.6467i −0.255616 0.442739i
\(693\) 2.56010 + 3.68427i 0.0972503 + 0.139954i
\(694\) −27.7308 4.88969i −1.05265 0.185610i
\(695\) 2.36010 1.36260i 0.0895237 0.0516865i
\(696\) −8.46081 11.0674i −0.320706 0.419508i
\(697\) −23.4968 + 28.0024i −0.890006 + 1.06067i
\(698\) 18.4021 + 6.69781i 0.696530 + 0.253516i
\(699\) 20.1400 + 0.915530i 0.761766 + 0.0346285i
\(700\) −5.27849 + 4.42918i −0.199508 + 0.167407i
\(701\) −2.95841 + 0.521647i −0.111738 + 0.0197023i −0.229237 0.973371i \(-0.573623\pi\)
0.117500 + 0.993073i \(0.462512\pi\)
\(702\) −1.27317 3.12110i −0.0480527 0.117798i
\(703\) −5.58262 + 17.0986i −0.210552 + 0.644887i
\(704\) 0.961171i 0.0362255i
\(705\) 4.03468 + 0.902063i 0.151955 + 0.0339737i
\(706\) −2.63528 3.14061i −0.0991801 0.118198i
\(707\) −10.0127 27.5097i −0.376567 1.03461i
\(708\) 13.6517 14.8447i 0.513062 0.557896i
\(709\) 2.36012 + 1.98037i 0.0886360 + 0.0743744i 0.686029 0.727574i \(-0.259352\pi\)
−0.597393 + 0.801949i \(0.703797\pi\)
\(710\) −0.0224369 0.0129539i −0.000842042 0.000486153i
\(711\) 4.02239 + 1.09328i 0.150852 + 0.0410011i
\(712\) 1.06104 6.01746i 0.0397642 0.225514i
\(713\) 0.619918 3.51573i 0.0232161 0.131665i
\(714\) 2.37110 + 18.2634i 0.0887361 + 0.683489i
\(715\) 0.408138 + 0.235639i 0.0152635 + 0.00881239i
\(716\) −12.7875 10.7300i −0.477891 0.400998i
\(717\) −19.4073 17.8476i −0.724777 0.666532i
\(718\) −1.91864 5.27142i −0.0716030 0.196728i
\(719\) 7.13781 + 8.50651i 0.266195 + 0.317239i 0.882540 0.470237i \(-0.155832\pi\)
−0.616345 + 0.787476i \(0.711387\pi\)
\(720\) −1.85275 1.30724i −0.0690480 0.0487180i
\(721\) 17.8378i 0.664316i
\(722\) −8.37766 + 17.0533i −0.311784 + 0.634658i
\(723\) 24.2796 + 10.1080i 0.902969 + 0.375921i
\(724\) 10.0398 1.77029i 0.373126 0.0657921i
\(725\) 27.2868 22.8964i 1.01341 0.850349i
\(726\) 0.792537 17.4344i 0.0294138 0.647051i
\(727\) 13.8709 + 5.04860i 0.514444 + 0.187242i 0.586179 0.810182i \(-0.300632\pi\)
−0.0717355 + 0.997424i \(0.522854\pi\)
\(728\) −0.648776 + 0.773182i −0.0240453 + 0.0286560i
\(729\) 6.70703 + 26.1537i 0.248409 + 0.968655i
\(730\) 2.60144 1.50194i 0.0962835 0.0555893i
\(731\) −52.5931 9.27357i −1.94522 0.342996i
\(732\) −15.8092 10.1115i −0.584324 0.373731i
\(733\) −18.1447 31.4276i −0.670191 1.16080i −0.977850 0.209308i \(-0.932879\pi\)
0.307659 0.951497i \(-0.400454\pi\)
\(734\) 1.49168 2.58367i 0.0550589 0.0953649i
\(735\) −2.75857 5.32245i −0.101751 0.196322i
\(736\) −0.400647 + 1.10077i −0.0147681 + 0.0405749i
\(737\) −8.42862 + 3.06777i −0.310472 + 0.113003i
\(738\) 15.9807 + 1.45592i 0.588258 + 0.0535931i
\(739\) −2.94942 16.7270i −0.108496 0.615312i −0.989766 0.142699i \(-0.954422\pi\)
0.881270 0.472613i \(-0.156689\pi\)
\(740\) −3.11893 −0.114654
\(741\) −3.71394 3.19273i −0.136435 0.117288i
\(742\) −22.5637 −0.828339
\(743\) −4.59818 26.0776i −0.168691 0.956693i −0.945177 0.326559i \(-0.894111\pi\)
0.776486 0.630134i \(-0.217000\pi\)
\(744\) −5.03708 + 1.57826i −0.184668 + 0.0578617i
\(745\) −13.6097 + 4.95352i −0.498620 + 0.181483i
\(746\) 7.20414 19.7932i 0.263762 0.724681i
\(747\) 36.1962 3.03595i 1.32435 0.111080i
\(748\) −3.28430 + 5.68857i −0.120086 + 0.207995i
\(749\) 1.83324 + 3.17526i 0.0669850 + 0.116021i
\(750\) 6.65084 10.3985i 0.242854 0.379700i
\(751\) 46.8929 + 8.26849i 1.71115 + 0.301722i 0.941566 0.336827i \(-0.109354\pi\)
0.769581 + 0.638549i \(0.220465\pi\)
\(752\) −2.73492 + 1.57901i −0.0997323 + 0.0575805i
\(753\) 14.9274 11.4117i 0.543984 0.415866i
\(754\) 3.35381 3.99691i 0.122139 0.145559i
\(755\) −13.6812 4.97954i −0.497909 0.181224i
\(756\) 5.98991 5.42974i 0.217851 0.197478i
\(757\) −12.6519 + 10.6162i −0.459843 + 0.385854i −0.843073 0.537799i \(-0.819256\pi\)
0.383230 + 0.923653i \(0.374812\pi\)
\(758\) −9.39563 + 1.65670i −0.341264 + 0.0601741i
\(759\) −0.749527 + 1.80038i −0.0272061 + 0.0653496i
\(760\) −3.26188 0.463166i −0.118321 0.0168008i
\(761\) 19.1974i 0.695906i −0.937512 0.347953i \(-0.886877\pi\)
0.937512 0.347953i \(-0.113123\pi\)
\(762\) −5.26287 + 23.5394i −0.190654 + 0.852742i
\(763\) 6.48211 + 7.72508i 0.234668 + 0.279667i
\(764\) 4.12705 + 11.3390i 0.149311 + 0.410230i
\(765\) −6.49847 14.0675i −0.234953 0.508613i
\(766\) 5.96084 + 5.00173i 0.215374 + 0.180720i
\(767\) 6.54145 + 3.77671i 0.236198 + 0.136369i
\(768\) 1.71764 0.222997i 0.0619798 0.00804673i
\(769\) −5.25863 + 29.8231i −0.189631 + 1.07545i 0.730229 + 0.683203i \(0.239413\pi\)
−0.919860 + 0.392248i \(0.871698\pi\)
\(770\) −0.196280 + 1.11316i −0.00707343 + 0.0401154i
\(771\) −0.0777483 + 0.0100939i −0.00280004 +