Properties

Label 114.2.l.a.29.3
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 29.3
Root \(0.0786547 + 1.73026i\) of defining polynomial
Character \(\chi\) \(=\) 114.29
Dual form 114.2.l.a.59.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 - 0.984808i) q^{2} +(1.53778 + 0.797015i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.258510 - 0.710252i) q^{5} +(0.517874 - 1.65282i) q^{6} +(0.777943 - 1.34744i) q^{7} +(0.500000 + 0.866025i) q^{8} +(1.72953 + 2.45127i) q^{9} +O(q^{10})\) \(q+(-0.173648 - 0.984808i) q^{2} +(1.53778 + 0.797015i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(0.258510 - 0.710252i) q^{5} +(0.517874 - 1.65282i) q^{6} +(0.777943 - 1.34744i) q^{7} +(0.500000 + 0.866025i) q^{8} +(1.72953 + 2.45127i) q^{9} +(-0.744351 - 0.131249i) q^{10} +(-0.832399 + 0.480586i) q^{11} +(-1.71764 - 0.222997i) q^{12} +(0.416982 - 0.496940i) q^{13} +(-1.46205 - 0.532144i) q^{14} +(0.963613 - 0.886174i) 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} +(2.27023 - 1.45203i) q^{21} +(0.617829 + 0.736300i) q^{22} +(-0.400647 - 1.10077i) q^{23} +(0.0786547 + 1.73026i) q^{24} +(3.39259 + 2.84672i) q^{25} +(-0.561798 - 0.324354i) q^{26} +(0.705946 + 5.14797i) q^{27} +(-0.270177 + 1.53225i) q^{28} +(-1.39666 + 7.92086i) q^{29} +(-1.04004 - 0.795091i) q^{30} +(-2.63927 - 1.52379i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(-1.66308 + 0.0756007i) q^{33} +(2.33735 + 6.42181i) q^{34} +(-0.755913 - 0.900862i) q^{35} +(-2.46361 - 1.71190i) 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} +(-1.82419 - 1.98360i) q^{42} +(-7.34330 - 2.67274i) q^{43} +(0.617829 - 0.736300i) q^{44} +(2.18812 - 0.594726i) q^{45} +(-1.01447 + 0.585707i) q^{46} +(3.11004 + 0.548383i) q^{47} +(1.69032 - 0.377917i) q^{48} +(2.28961 + 3.96572i) q^{49} +(2.21436 - 3.83538i) q^{50} +(-11.2953 - 3.53912i) q^{51} +(-0.221871 + 0.609587i) q^{52} +(13.6276 - 4.96002i) q^{53} +(4.94718 - 1.58916i) q^{54} +(0.126153 + 0.715449i) q^{55} +1.55589 q^{56} +(-5.29374 - 5.38297i) q^{57} +8.04306 q^{58} +(-2.02192 - 11.4669i) q^{59} +(-0.602411 + 1.16231i) q^{60} +(10.1813 - 3.70568i) q^{61} +(-1.04233 + 2.86378i) q^{62} +(4.64841 - 0.423492i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-0.245158 - 0.424626i) q^{65} +(0.363243 + 1.62469i) q^{66} +(-9.19012 - 1.62047i) q^{67} +(5.91837 - 3.41697i) q^{68} +(0.261222 - 2.01206i) q^{69} +(-0.755913 + 0.900862i) q^{70} +(-0.0322101 - 0.0117235i) q^{71} +(-1.25809 + 2.72345i) 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} +(-0.605407 - 0.946547i) q^{78} +(-0.893115 - 1.06437i) q^{79} +(-0.258510 - 0.710252i) q^{80} +(-3.01742 + 8.47910i) q^{81} +(-4.09755 - 3.43825i) q^{82} +(10.4856 + 6.05389i) q^{83} +(-1.63670 + 2.14093i) q^{84} +(-0.896950 + 5.08686i) q^{85} +(-1.35699 + 7.69585i) q^{86} +(-8.46081 + 11.0674i) q^{87} +(-0.832399 - 0.480586i) q^{88} +(-4.68075 - 3.92762i) q^{89} +(-0.965654 - 2.05160i) q^{90} +(-0.345207 - 0.948448i) q^{91} +(0.752970 + 0.897355i) q^{92} +(-2.84414 - 4.44679i) 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} +(-2.61771 - 1.20924i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{6} + 9q^{8} + O(q^{10}) \) \( 18q + 3q^{6} + 9q^{8} - 12q^{13} + 12q^{14} - 24q^{15} - 6q^{17} - 6q^{19} - 24q^{22} - 18q^{25} - 18q^{26} - 3q^{27} + 6q^{28} + 6q^{29} - 27q^{33} - 6q^{34} + 24q^{35} - 3q^{36} - 3q^{38} + 6q^{39} - 3q^{41} - 6q^{43} - 24q^{44} + 54q^{45} + 18q^{46} - 30q^{47} + 6q^{48} + 21q^{49} - 3q^{50} - 33q^{51} - 6q^{52} + 60q^{53} + 30q^{55} + 12q^{57} + 12q^{58} - 3q^{59} + 18q^{60} + 54q^{61} - 6q^{62} + 84q^{63} - 9q^{64} - 24q^{65} + 30q^{66} - 15q^{67} + 27q^{68} + 24q^{69} + 24q^{70} - 36q^{71} - 42q^{73} - 6q^{74} - 18q^{78} - 6q^{79} + 3q^{82} - 36q^{83} - 24q^{84} + 6q^{86} - 54q^{87} + 60q^{89} - 12q^{90} - 18q^{91} - 84q^{93} - 6q^{95} + 9q^{97} - 12q^{98} - 30q^{99} + O(q^{100}) \)

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
\(3\) 1.53778 + 0.797015i 0.887838 + 0.460157i
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) 0.258510 0.710252i 0.115609 0.317634i −0.868370 0.495917i \(-0.834832\pi\)
0.983979 + 0.178283i \(0.0570542\pi\)
\(6\) 0.517874 1.65282i 0.211421 0.674760i
\(7\) 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
\(9\) 1.72953 + 2.45127i 0.576511 + 0.817089i
\(10\) −0.744351 0.131249i −0.235384 0.0415046i
\(11\) −0.832399 + 0.480586i −0.250978 + 0.144902i −0.620212 0.784434i \(-0.712953\pi\)
0.369234 + 0.929336i \(0.379620\pi\)
\(12\) −1.71764 0.222997i −0.495839 0.0643738i
\(13\) 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
\(15\) 0.963613 0.886174i 0.248804 0.228809i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −6.73013 + 1.18670i −1.63230 + 0.287818i −0.913328 0.407226i \(-0.866496\pi\)
−0.718968 + 0.695043i \(0.755385\pi\)
\(18\) 2.11370 2.12892i 0.498203 0.501790i
\(19\) −4.14364 1.35288i −0.950615 0.310371i
\(20\) 0.755834i 0.169010i
\(21\) 2.27023 1.45203i 0.495405 0.316859i
\(22\) 0.617829 + 0.736300i 0.131722 + 0.156980i
\(23\) −0.400647 1.10077i −0.0835407 0.229526i 0.890888 0.454223i \(-0.150083\pi\)
−0.974429 + 0.224697i \(0.927861\pi\)
\(24\) 0.0786547 + 1.73026i 0.0160553 + 0.353189i
\(25\) 3.39259 + 2.84672i 0.678519 + 0.569345i
\(26\) −0.561798 0.324354i −0.110178 0.0636111i
\(27\) 0.705946 + 5.14797i 0.135859 + 0.990728i
\(28\) −0.270177 + 1.53225i −0.0510586 + 0.289568i
\(29\) −1.39666 + 7.92086i −0.259354 + 1.47087i 0.525292 + 0.850922i \(0.323956\pi\)
−0.784645 + 0.619945i \(0.787155\pi\)
\(30\) −1.04004 0.795091i −0.189885 0.145163i
\(31\) −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
\(33\) −1.66308 + 0.0756007i −0.289505 + 0.0131604i
\(34\) 2.33735 + 6.42181i 0.400852 + 1.10133i
\(35\) −0.755913 0.900862i −0.127773 0.152273i
\(36\) −2.46361 1.71190i −0.410602 0.285317i
\(37\) 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 −0.264067 0.964504i \(-0.585064\pi\)
0.903996 + 0.427540i \(0.140620\pi\)
\(42\) −1.82419 1.98360i −0.281479 0.306076i
\(43\) −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
\(45\) 2.18812 0.594726i 0.326186 0.0886566i
\(46\) −1.01447 + 0.585707i −0.149576 + 0.0863578i
\(47\) 3.11004 + 0.548383i 0.453646 + 0.0799899i 0.395802 0.918336i \(-0.370467\pi\)
0.0578432 + 0.998326i \(0.481578\pi\)
\(48\) 1.69032 0.377917i 0.243977 0.0545476i
\(49\) 2.28961 + 3.96572i 0.327087 + 0.566531i
\(50\) 2.21436 3.83538i 0.313157 0.542405i
\(51\) −11.2953 3.53912i −1.58165 0.495576i
\(52\) −0.221871 + 0.609587i −0.0307680 + 0.0845345i
\(53\) 13.6276 4.96002i 1.87189 0.681312i 0.905427 0.424503i \(-0.139551\pi\)
0.966462 0.256809i \(-0.0826711\pi\)
\(54\) 4.94718 1.58916i 0.673226 0.216257i
\(55\) 0.126153 + 0.715449i 0.0170105 + 0.0964711i
\(56\) 1.55589 0.207914
\(57\) −5.29374 5.38297i −0.701173 0.712991i
\(58\) 8.04306 1.05610
\(59\) −2.02192 11.4669i −0.263231 1.49286i −0.774024 0.633156i \(-0.781759\pi\)
0.510793 0.859704i \(-0.329352\pi\)
\(60\) −0.602411 + 1.16231i −0.0777709 + 0.150053i
\(61\) 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
\(63\) 4.64841 0.423492i 0.585644 0.0533549i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −0.245158 0.424626i −0.0304081 0.0526684i
\(66\) 0.363243 + 1.62469i 0.0447121 + 0.199985i
\(67\) −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
\(69\) 0.261222 2.01206i 0.0314475 0.242224i
\(70\) −0.755913 + 0.900862i −0.0903489 + 0.107674i
\(71\) −0.0322101 0.0117235i −0.00382263 0.00139132i 0.340108 0.940386i \(-0.389536\pi\)
−0.343931 + 0.938995i \(0.611759\pi\)
\(72\) −1.25809 + 2.72345i −0.148268 + 0.320962i
\(73\) −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
\(78\) −0.605407 0.946547i −0.0685488 0.107175i
\(79\) −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
\(81\) −3.01742 + 8.47910i −0.335269 + 0.942122i
\(82\) −4.09755 3.43825i −0.452498 0.379691i
\(83\) 10.4856 + 6.05389i 1.15095 + 0.664500i 0.949118 0.314920i \(-0.101978\pi\)
0.201830 + 0.979421i \(0.435311\pi\)
\(84\) −1.63670 + 2.14093i −0.178578 + 0.233594i
\(85\) −0.896950 + 5.08686i −0.0972879 + 0.551747i
\(86\) −1.35699 + 7.69585i −0.146328 + 0.829865i
\(87\) −8.46081 + 11.0674i −0.907094 + 1.18655i
\(88\) −0.832399 0.480586i −0.0887340 0.0512306i
\(89\) −4.68075 3.92762i −0.496159 0.416327i 0.360069 0.932926i \(-0.382753\pi\)
−0.856227 + 0.516599i \(0.827198\pi\)
\(90\) −0.965654 2.05160i −0.101789 0.216258i
\(91\) −0.345207 0.948448i −0.0361875 0.0994243i
\(92\) 0.752970 + 0.897355i 0.0785026 + 0.0935557i
\(93\) −2.84414 4.44679i −0.294924 0.461110i
\(94\) 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
\(99\) −2.61771 1.20924i −0.263089 0.121533i
\(100\) −4.16163 1.51471i −0.416163 0.151471i
\(101\) −12.0945 + 14.4137i −1.20345 + 1.43422i −0.332323 + 0.943166i \(0.607832\pi\)
−0.871130 + 0.491053i \(0.836612\pi\)
\(102\) −1.52395 + 11.7382i −0.150894 + 1.16226i
\(103\) 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
\(105\) −0.444427 1.98780i −0.0433716 0.193990i
\(106\) −7.25107 12.5592i −0.704286 1.21986i
\(107\) 1.17826 2.04080i 0.113906 0.197292i −0.803436 0.595392i \(-0.796997\pi\)
0.917342 + 0.398100i \(0.130330\pi\)
\(108\) −2.42408 4.59607i −0.233258 0.442257i
\(109\) −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
\(111\) 3.28887 6.34562i 0.312165 0.602299i
\(112\) −0.270177 1.53225i −0.0255293 0.144784i
\(113\) 10.0387 0.944358 0.472179 0.881503i \(-0.343468\pi\)
0.472179 + 0.881503i \(0.343468\pi\)
\(114\) −4.38194 + 6.14806i −0.410406 + 0.575818i
\(115\) −0.885394 −0.0825635
\(116\) −1.39666 7.92086i −0.129677 0.735434i
\(117\) 1.93932 + 0.162660i 0.179290 + 0.0150379i
\(118\) −10.9416 + 3.98240i −1.00725 + 0.366610i
\(119\) −3.63665 + 9.99161i −0.333371 + 0.915929i
\(120\) 1.24926 + 0.391427i 0.114041 + 0.0357322i
\(121\) −5.03807 + 8.72620i −0.458007 + 0.793291i
\(122\) −5.41735 9.38312i −0.490464 0.849508i
\(123\) 9.04146 2.02147i 0.815241 0.182269i
\(124\) 3.00127 + 0.529205i 0.269522 + 0.0475240i
\(125\) 6.17177 3.56327i 0.552020 0.318709i
\(126\) −1.22425 4.50425i −0.109064 0.401270i
\(127\) 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
\(129\) −9.16216 9.96280i −0.806683 0.877176i
\(130\) −0.375604 + 0.315169i −0.0329426 + 0.0276422i
\(131\) −10.9610 + 1.93273i −0.957671 + 0.168863i −0.630575 0.776128i \(-0.717181\pi\)
−0.327096 + 0.944991i \(0.606070\pi\)
\(132\) 1.53693 0.639848i 0.133772 0.0556916i
\(133\) −5.04643 + 4.53083i −0.437581 + 0.392873i
\(134\) 9.33190i 0.806153i
\(135\) 3.83885 + 0.829406i 0.330396 + 0.0713839i
\(136\) −4.39278 5.23511i −0.376678 0.448907i
\(137\) 1.69757 + 4.66403i 0.145033 + 0.398475i 0.990845 0.135007i \(-0.0431056\pi\)
−0.845812 + 0.533482i \(0.820883\pi\)
\(138\) −2.02686 + 0.0921372i −0.172537 + 0.00784324i
\(139\) −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
\(141\) 4.34548 + 3.32204i 0.365956 + 0.279766i
\(142\) −0.00595218 + 0.0337565i −0.000499496 + 0.00283278i
\(143\) −0.108273 + 0.614047i −0.00905425 + 0.0513492i
\(144\) 2.90054 + 0.766057i 0.241712 + 0.0638380i
\(145\) 5.26475 + 3.03961i 0.437214 + 0.252426i
\(146\) 3.04446 + 2.55461i 0.251961 + 0.211421i
\(147\) 0.360177 + 7.92326i 0.0297069 + 0.653499i
\(148\) 1.41134 + 3.87762i 0.116011 + 0.318739i
\(149\) −12.3170 14.6788i −1.00904 1.20253i −0.979183 0.202978i \(-0.934938\pi\)
−0.0298610 0.999554i \(-0.509506\pi\)
\(150\) 6.46205 4.13309i 0.527624 0.337466i
\(151\) 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
\(156\) −0.827039 + 0.760575i −0.0662161 + 0.0608948i
\(157\) −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
\(159\) 24.9094 + 3.23394i 1.97544 + 0.256468i
\(160\) −0.654571 + 0.377917i −0.0517484 + 0.0298770i
\(161\) −1.79490 0.316489i −0.141458 0.0249428i
\(162\) 8.87425 + 1.49920i 0.697227 + 0.117788i
\(163\) 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
\(165\) −0.376228 + 1.20075i −0.0292893 + 0.0934782i
\(166\) 4.14110 11.3776i 0.321412 0.883072i
\(167\) 8.87982 3.23199i 0.687141 0.250099i 0.0252305 0.999682i \(-0.491968\pi\)
0.661911 + 0.749583i \(0.269746\pi\)
\(168\) 2.39261 + 1.24006i 0.184594 + 0.0956731i
\(169\) 2.18435 + 12.3881i 0.168027 + 0.952929i
\(170\) 5.16533 0.396163
\(171\) −3.85030 12.4970i −0.294440 0.955670i
\(172\) 7.81457 0.595856
\(173\) −2.33529 13.2441i −0.177549 1.00693i −0.935161 0.354224i \(-0.884745\pi\)
0.757612 0.652705i \(-0.226366\pi\)
\(174\) 12.3684 + 6.41044i 0.937650 + 0.485974i
\(175\) 6.47502 2.35672i 0.489466 0.178151i
\(176\) −0.328740 + 0.903205i −0.0247797 + 0.0680817i
\(177\) 6.03000 19.2450i 0.453243 1.44655i
\(178\) −3.05514 + 5.29167i −0.228993 + 0.396627i
\(179\) −8.34644 14.4565i −0.623842 1.08053i −0.988764 0.149488i \(-0.952237\pi\)
0.364921 0.931038i \(-0.381096\pi\)
\(180\) −1.85275 + 1.30724i −0.138096 + 0.0974360i
\(181\) −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
\(183\) 18.6101 + 2.41611i 1.37570 + 0.178604i
\(184\) 0.752970 0.897355i 0.0555097 0.0661539i
\(185\) −2.93084 1.06674i −0.215480 0.0784281i
\(186\) −3.88535 + 3.57311i −0.284888 + 0.261993i
\(187\) 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 \(0.143802\pi\)
−0.899676 + 0.436558i \(0.856198\pi\)
\(192\) −1.45913 + 0.933249i −0.105303 + 0.0673514i
\(193\) −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
\(195\) −0.0385657 0.848376i −0.00276175 0.0607535i
\(196\) −3.50789 2.94347i −0.250563 0.210248i
\(197\) −5.15098 2.97392i −0.366992 0.211883i 0.305151 0.952304i \(-0.401293\pi\)
−0.672144 + 0.740421i \(0.734626\pi\)
\(198\) −0.736311 + 2.78792i −0.0523274 + 0.198129i
\(199\) 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
\(201\) −12.8409 9.81659i −0.905724 0.692409i
\(202\) 16.2949 + 9.40789i 1.14651 + 0.661937i
\(203\) 9.58634 + 8.04389i 0.672829 + 0.564571i
\(204\) 11.8245 0.537522i 0.827883 0.0376341i
\(205\) −1.38276 3.79911i −0.0965764 0.265342i
\(206\) −7.36940 8.78251i −0.513450 0.611906i
\(207\) 2.00535 2.88591i 0.139381 0.200585i
\(208\) 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
\(213\) −0.0401882 0.0437001i −0.00275365 0.00299428i
\(214\) −2.21440 0.805976i −0.151373 0.0550954i
\(215\) −3.79664 + 4.52466i −0.258928 + 0.308579i
\(216\) −4.10530 + 3.18535i −0.279331 + 0.216736i
\(217\) −4.10641 + 2.37084i −0.278761 + 0.160943i
\(218\) 6.38297 + 1.12549i 0.432309 + 0.0762278i
\(219\) −6.71777 + 1.50194i −0.453945 + 0.101492i
\(220\) −0.363243 0.629155i −0.0244898 0.0424176i
\(221\) −2.21662 + 3.83930i −0.149106 + 0.258259i
\(222\) −6.82032 2.13700i −0.457750 0.143426i
\(223\) 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
\(225\) −1.11047 + 13.2397i −0.0740316 + 0.882644i
\(226\) −1.74320 9.88615i −0.115956 0.657617i
\(227\) −16.1886 −1.07448 −0.537238 0.843430i \(-0.680532\pi\)
−0.537238 + 0.843430i \(0.680532\pi\)
\(228\) 6.81557 + 3.24777i 0.451372 + 0.215089i
\(229\) −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
\(231\) −1.19191 + 2.29971i −0.0784222 + 0.151310i
\(232\) −7.55800 + 2.75089i −0.496207 + 0.180605i
\(233\) −3.98107 + 10.9379i −0.260808 + 0.716565i 0.738305 + 0.674467i \(0.235626\pi\)
−0.999113 + 0.0420981i \(0.986596\pi\)
\(234\) −0.176570 1.93810i −0.0115427 0.126698i
\(235\) 1.19347 2.06715i 0.0778532 0.134846i
\(236\) 5.82188 + 10.0838i 0.378972 + 0.656399i
\(237\) −0.525093 2.34860i −0.0341085 0.152558i
\(238\) 10.4713 + 1.84637i 0.678754 + 0.119683i
\(239\) 13.1831 7.61128i 0.852746 0.492333i −0.00883069 0.999961i \(-0.502811\pi\)
0.861576 + 0.507628i \(0.169478\pi\)
\(240\) 0.168549 1.29825i 0.0108798 0.0838015i
\(241\) 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
\(243\) −11.3981 + 10.6341i −0.731189 + 0.682175i
\(244\) −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
\(249\) 11.2996 + 17.6668i 0.716081 + 1.11958i
\(250\) −4.58085 5.45925i −0.289719 0.345273i
\(251\) 3.71032 + 10.1940i 0.234193 + 0.643441i 1.00000 0.000369965i \(0.000117763\pi\)
−0.765807 + 0.643071i \(0.777660\pi\)
\(252\) −4.22323 + 1.98780i −0.266039 + 0.125220i
\(253\) 0.862512 + 0.723733i 0.0542257 + 0.0455007i
\(254\) −12.0603 6.96300i −0.756728 0.436897i
\(255\) −5.43361 + 7.10759i −0.340266 + 0.445094i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 0.00786014 0.0445771i 0.000490302 0.00278064i −0.984562 0.175038i \(-0.943995\pi\)
0.985052 + 0.172258i \(0.0551062\pi\)
\(258\) −8.22045 + 10.7530i −0.511783 + 0.669452i
\(259\) −5.56017 3.21017i −0.345492 0.199470i
\(260\) 0.375604 + 0.315169i 0.0232940 + 0.0195460i
\(261\) −21.8317 + 10.2758i −1.35135 + 0.636057i
\(262\) 3.80673 + 10.4589i 0.235181 + 0.646153i
\(263\) 3.52577 + 4.20185i 0.217408 + 0.259097i 0.863715 0.503981i \(-0.168132\pi\)
−0.646307 + 0.763078i \(0.723687\pi\)
\(264\) −0.897012 1.40247i −0.0552073 0.0863160i
\(265\) 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 −0.687495 0.726189i \(-0.741290\pi\)
0.595775 + 0.803152i \(0.296845\pi\)
\(270\) 0.150196 3.92456i 0.00914061 0.238841i
\(271\) 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
\(273\) 0.225075 1.73364i 0.0136222 0.104925i
\(274\) 4.29839 2.48168i 0.259675 0.149924i
\(275\) −4.19208 0.739177i −0.252792 0.0445741i
\(276\) 0.442697 + 1.98006i 0.0266472 + 0.119186i
\(277\) −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
\(279\) −0.829509 9.10501i −0.0496614 0.545102i
\(280\) 0.402213 1.10507i 0.0240368 0.0660406i
\(281\) 11.0064 4.00600i 0.656587 0.238978i 0.00782495 0.999969i \(-0.497509\pi\)
0.648762 + 0.760991i \(0.275287\pi\)
\(282\) 2.51698 4.85633i 0.149884 0.289190i
\(283\) 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
\(285\) −5.19175 + 2.36833i −0.307533 + 0.140288i
\(286\) 0.623520 0.0368695
\(287\) −1.44517 8.19595i −0.0853055 0.483791i
\(288\) 0.250744 2.98950i 0.0147752 0.176158i
\(289\) 27.9116 10.1590i 1.64186 0.597587i
\(290\) 2.07921 5.71259i 0.122096 0.335455i
\(291\) 16.0246 + 5.02096i 0.939380 + 0.294334i
\(292\) 1.98713 3.44181i 0.116288 0.201417i
\(293\) 1.29095 + 2.23599i 0.0754180 + 0.130628i 0.901268 0.433262i \(-0.142638\pi\)
−0.825850 + 0.563890i \(0.809304\pi\)
\(294\) 7.74034 1.73056i 0.451426 0.100929i
\(295\) −8.66705 1.52824i −0.504615 0.0889773i
\(296\) 3.57364 2.06324i 0.207713 0.119923i
\(297\) −3.06167 3.94590i −0.177656 0.228964i
\(298\) −12.3170 + 14.6788i −0.713502 + 0.850319i
\(299\) −0.714078 0.259903i −0.0412962 0.0150306i
\(300\) −5.19243 5.64617i −0.299785 0.325982i
\(301\) −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
\(306\) −11.6991 + 16.8362i −0.668790 + 0.962462i
\(307\) −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
\(309\) 19.8370 0.901757i 1.12849 0.0512991i
\(310\) 1.76455 + 1.48063i 0.100220 + 0.0840944i
\(311\) −22.4909 12.9851i −1.27534 0.736320i −0.299355 0.954142i \(-0.596771\pi\)
−0.975989 + 0.217822i \(0.930105\pi\)
\(312\) 0.892634 + 0.682402i 0.0505355 + 0.0386334i
\(313\) −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
\(315\) 0.900876 3.41102i 0.0507586 0.192189i
\(316\) 1.20329 + 0.694720i 0.0676904 + 0.0390811i
\(317\) 23.3056 + 19.5557i 1.30897 + 1.09836i 0.988519 + 0.151095i \(0.0482799\pi\)
0.320454 + 0.947264i \(0.396165\pi\)
\(318\) −1.14066 25.0925i −0.0639652 1.40712i
\(319\) −2.64407 7.26453i −0.148040 0.406736i
\(320\) 0.485841 + 0.579002i 0.0271593 + 0.0323672i
\(321\) 3.43845 2.19922i 0.191916 0.122748i
\(322\) 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
\(327\) −8.26319 + 7.59913i −0.456956 + 0.420233i
\(328\) 5.02638 + 1.82945i 0.277536 + 0.101015i
\(329\) 3.15834 3.76397i 0.174125 0.207514i
\(330\) 1.24784 + 0.162004i 0.0686912 + 0.00891805i
\(331\) −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
\(333\) 10.1151 7.13689i 0.554304 0.391099i
\(334\) −4.72485 8.18369i −0.258533 0.447791i
\(335\) −3.52668 + 6.10839i −0.192683 + 0.333737i
\(336\) 0.805753 2.57160i 0.0439574 0.140292i
\(337\) −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
\(339\) 15.4373 + 8.00096i 0.838436 + 0.434553i
\(340\) −0.896950 5.08686i −0.0486440 0.275874i
\(341\) 2.92924 0.158627
\(342\) −11.6386 + 5.96189i −0.629341 + 0.322382i
\(343\) 18.0159 0.972770
\(344\) −1.35699 7.69585i −0.0731638 0.414932i
\(345\) −1.36154 0.705673i −0.0733029 0.0379921i
\(346\) −12.6374 + 4.59962i −0.679389 + 0.247277i
\(347\) 9.63081 26.4604i 0.517009 1.42047i −0.356790 0.934185i \(-0.616129\pi\)
0.873799 0.486287i \(-0.161649\pi\)
\(348\) 4.16529 13.2937i 0.223283 0.712617i
\(349\) 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
\(351\) 2.85260 + 1.79580i 0.152261 + 0.0958527i
\(352\) 0.946569 + 0.166906i 0.0504523 + 0.00889610i
\(353\) 3.55050 2.04988i 0.188974 0.109104i −0.402528 0.915408i \(-0.631868\pi\)
0.591502 + 0.806303i \(0.298535\pi\)
\(354\) −19.9998 2.59653i −1.06297 0.138004i
\(355\) −0.0166533 + 0.0198466i −0.000883864 + 0.00105335i
\(356\) 5.74179 + 2.08984i 0.304314 + 0.110761i
\(357\) −13.5558 + 12.4664i −0.717450 + 0.659793i
\(358\) −12.7875 + 10.7300i −0.675840 + 0.567097i
\(359\) 5.52450 0.974118i 0.291572 0.0514120i −0.0259490 0.999663i \(-0.508261\pi\)
0.317521 + 0.948251i \(0.397150\pi\)
\(360\) 1.60911 + 1.59760i 0.0848074 + 0.0842011i
\(361\) 15.3395 + 11.2117i 0.807340 + 0.590087i
\(362\) 10.1947i 0.535820i
\(363\) −14.7024 + 9.40356i −0.771674 + 0.493559i
\(364\) 0.648776 + 0.773182i 0.0340051 + 0.0405257i
\(365\) 1.02739 + 2.82273i 0.0537760 + 0.147748i
\(366\) −0.852200 18.7469i −0.0445452 0.979915i
\(367\) −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
\(369\) 15.5149 + 4.09761i 0.807674 + 0.213313i
\(370\) −0.541597 + 3.07155i −0.0281563 + 0.159682i
\(371\) 3.91814 22.2209i 0.203420 1.15365i
\(372\) 4.19351 + 3.20586i 0.217423 + 0.166216i
\(373\) −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
\(375\) 12.3308 0.560536i 0.636760 0.0289460i
\(376\) 1.08010 + 2.96756i 0.0557021 + 0.153040i
\(377\) 3.35381 + 3.99691i 0.172730 + 0.205852i
\(378\) 1.70733 7.90228i 0.0878158 0.406450i
\(379\) 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 −0.782249 0.622965i \(-0.785928\pi\)
0.477665 + 0.878542i \(0.341483\pi\)
\(384\) 1.17245 + 1.27490i 0.0598311 + 0.0650595i
\(385\) 1.06216 + 0.386595i 0.0541328 + 0.0197027i
\(386\) −2.14990 + 2.56215i −0.109427 + 0.130410i
\(387\) −6.14888 22.6230i −0.312565 1.14999i
\(388\) −8.39641 + 4.84767i −0.426263 + 0.246103i
\(389\) −9.63724 1.69931i −0.488627 0.0861582i −0.0760939 0.997101i \(-0.524245\pi\)
−0.412533 + 0.910942i \(0.635356\pi\)
\(390\) −0.828791 + 0.185299i −0.0419674 + 0.00938297i
\(391\) 4.00269 + 6.93287i 0.202425 + 0.350610i
\(392\) −2.28961 + 3.96572i −0.115643 + 0.200299i
\(393\) −18.3961 5.76401i −0.927960 0.290756i
\(394\) −2.03428 + 5.58914i −0.102486 + 0.281577i
\(395\) −0.986853 + 0.359185i −0.0496539 + 0.0180726i
\(396\) 2.87342 + 0.241008i 0.144395 + 0.0121111i
\(397\) −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
\(399\) −11.3714 + 2.94534i −0.569284 + 0.147451i
\(400\) 4.42872 0.221436
\(401\) 3.59086 + 20.3648i 0.179319 + 1.01697i 0.933039 + 0.359774i \(0.117146\pi\)
−0.753720 + 0.657195i \(0.771743\pi\)
\(402\) −7.43766 + 14.3504i −0.370957 + 0.715733i
\(403\) −1.85776 + 0.676169i −0.0925416 + 0.0336824i
\(404\) 6.43537 17.6810i 0.320172 0.879665i
\(405\) 5.24226 + 4.33507i 0.260490 + 0.215411i
\(406\) 6.25704 10.8375i 0.310532 0.537857i
\(407\) 1.98313 + 3.43488i 0.0982999 + 0.170260i
\(408\) −2.58267 11.5516i −0.127861 0.571887i
\(409\) 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
\(411\) −1.10682 + 8.52524i −0.0545952 + 0.420519i
\(412\) −7.36940 + 8.78251i −0.363064 + 0.432683i
\(413\) −17.0238 6.19617i −0.837688 0.304893i
\(414\) −3.19029 1.47375i −0.156794 0.0724307i
\(415\) 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 \(0.212208\pi\)
−0.785884 + 0.618374i \(0.787792\pi\)
\(420\) 1.09749 + 1.71592i 0.0535522 + 0.0837283i
\(421\) 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
\(423\) 4.03468 + 8.57198i 0.196173 + 0.416784i
\(424\) 11.1093 + 9.32180i 0.539515 + 0.452706i
\(425\) −26.2108 15.1328i −1.27141 0.734049i
\(426\) −0.0360576 + 0.0471661i −0.00174699 + 0.00228520i
\(427\) 2.92728 16.6014i 0.141661 0.803400i
\(428\) −0.409205 + 2.32072i −0.0197797 + 0.112176i
\(429\) −0.655905 + 0.857975i −0.0316674 + 0.0414234i
\(430\) 5.11520 + 2.95326i 0.246677 + 0.142419i
\(431\) 25.2345 + 21.1742i 1.21550 + 1.01993i 0.999048 + 0.0436350i \(0.0138938\pi\)
0.216455 + 0.976293i \(0.430551\pi\)
\(432\) 3.84984 + 3.48980i 0.185226 + 0.167903i
\(433\) −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
\(435\) 5.67342 + 8.87034i 0.272020 + 0.425300i
\(436\) 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
\(441\) −5.76108 + 12.4713i −0.274337 + 0.593871i
\(442\) 4.16589 + 1.51626i 0.198151 + 0.0721211i
\(443\) −12.5287 + 14.9311i −0.595257 + 0.709400i −0.976607 0.215031i \(-0.931015\pi\)
0.381350 + 0.924431i \(0.375459\pi\)
\(444\) −0.920194 + 7.08779i −0.0436705 + 0.336372i
\(445\) −3.99962 + 2.30918i −0.189600 + 0.109466i
\(446\) −13.5672 2.39226i −0.642426 0.113277i
\(447\) −7.24156 32.3895i −0.342514 1.53197i
\(448\) 0.777943 + 1.34744i 0.0367544 + 0.0636604i
\(449\) −6.61607 + 11.4594i −0.312232 + 0.540801i −0.978845 0.204602i \(-0.934410\pi\)
0.666613 + 0.745404i \(0.267743\pi\)
\(450\) 13.2313 1.20544i 0.623732 0.0568249i
\(451\) −1.75842 + 4.83122i −0.0828007 + 0.227493i
\(452\) −9.43326 + 3.43342i −0.443703 + 0.161495i
\(453\) −15.3524 + 29.6214i −0.721321 + 1.39173i
\(454\) 2.81112 + 15.9427i 0.131933 + 0.748227i
\(455\) −0.762876 −0.0357642
\(456\) 2.01492 7.27600i 0.0943571 0.340730i
\(457\) −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
\(459\) −10.8602 33.8088i −0.506912 1.57806i
\(460\) 0.831999 0.302823i 0.0387921 0.0141192i
\(461\) 5.65076 15.5253i 0.263182 0.723087i −0.735766 0.677236i \(-0.763178\pi\)
0.998948 0.0458511i \(-0.0146000\pi\)
\(462\) 2.47174 + 0.774466i 0.114996 + 0.0360314i
\(463\) −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
\(465\) −3.89358 + 0.870516i −0.180560 + 0.0403692i
\(466\) 11.4630 + 2.02124i 0.531014 + 0.0936321i
\(467\) −18.5458 + 10.7074i −0.858196 + 0.495480i −0.863408 0.504507i \(-0.831674\pi\)
0.00521153 + 0.999986i \(0.498341\pi\)
\(468\) −1.87799 + 0.510435i −0.0868103 + 0.0235949i
\(469\) −9.33287 + 11.1225i −0.430952 + 0.513588i
\(470\) −2.24298 0.816380i −0.103461 0.0376568i
\(471\) −0.250711 0.272620i −0.0115522 0.0125617i
\(472\) 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
\(477\) 35.7277 + 24.8262i 1.63586 + 1.13672i
\(478\) −9.78488 11.6612i −0.447550 0.533369i
\(479\) −11.4165 31.3665i −0.521632 1.43317i −0.868703 0.495333i \(-0.835046\pi\)
0.347071 0.937839i \(-0.387176\pi\)
\(480\) −1.30779 + 0.0594499i −0.0596923 + 0.00271350i
\(481\) −2.05061 1.72067i −0.0934998 0.0784557i
\(482\) −13.1498 7.59206i −0.598959 0.345809i
\(483\) −2.50791 1.91725i −0.114114 0.0872379i
\(484\) 1.74971 9.92307i 0.0795320 0.451049i
\(485\) 1.27250 7.21673i 0.0577815 0.327695i
\(486\) 12.4518 + 9.37836i 0.564824 + 0.425411i
\(487\) −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
\(489\) 1.18244 + 26.0117i 0.0534720 + 1.17629i
\(490\) −1.18378 3.25240i −0.0534775 0.146928i
\(491\) −0.635055 0.756829i −0.0286596 0.0341552i 0.751524 0.659705i \(-0.229319\pi\)
−0.780184 + 0.625550i \(0.784875\pi\)
\(492\) −7.80481 + 4.99192i −0.351868 + 0.225053i
\(493\) 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
\(498\) 15.4362 14.1957i 0.691713 0.636124i
\(499\) −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
\(501\) 16.2312 + 2.10726i 0.725155 + 0.0941454i
\(502\) 9.39486 5.42413i 0.419313 0.242091i
\(503\) −31.7905 5.60552i −1.41747 0.249938i −0.588167 0.808740i \(-0.700150\pi\)
−0.829301 + 0.558802i \(0.811261\pi\)
\(504\) 2.69096 + 3.81389i 0.119865 + 0.169884i
\(505\) 7.11080 + 12.3163i 0.316426 + 0.548067i
\(506\) 0.562965 0.975083i 0.0250268 0.0433477i
\(507\) −6.51443 + 20.7911i −0.289316 + 0.923365i
\(508\) −4.76297 + 13.0862i −0.211323 + 0.580604i
\(509\) −21.2608 + 7.73831i −0.942370 + 0.342994i −0.767101 0.641526i \(-0.778302\pi\)
−0.175268 + 0.984521i \(0.556079\pi\)
\(510\) 7.94314 + 4.11685i 0.351728 + 0.182297i
\(511\) 1.07375 + 6.08956i 0.0475000 + 0.269386i
\(512\) −1.00000 −0.0441942
\(513\) 4.03939 22.2864i 0.178343 0.983968i
\(514\) −0.0452647 −0.00199654
\(515\) −1.50474 8.53380i −0.0663067 0.376044i
\(516\) 12.0171 + 6.22833i 0.529023 + 0.274187i
\(517\) −2.85234 + 1.03817i −0.125446 + 0.0456585i
\(518\) −2.19588 + 6.03314i −0.0964815 + 0.265081i
\(519\) 6.96458 22.2278i 0.305711 0.975690i
\(520\) 0.245158 0.424626i 0.0107509 0.0186211i
\(521\) −4.86213 8.42145i −0.213014 0.368950i 0.739643 0.673000i \(-0.234995\pi\)
−0.952656 + 0.304049i \(0.901661\pi\)
\(522\) 13.9107 + 19.7157i 0.608857 + 0.862932i
\(523\) 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
\(525\) 11.8355 + 1.53658i 0.516544 + 0.0670619i
\(526\) 3.52577 4.20185i 0.153731 0.183209i
\(527\) 19.5709 + 7.12324i 0.852523 + 0.310293i
\(528\) −1.22540 + 1.12692i −0.0533286 + 0.0490429i
\(529\) 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
\(534\) −8.91568 + 5.70242i −0.385819 + 0.246768i
\(535\) −1.14489 1.36443i −0.0494980 0.0589894i
\(536\) −3.19170 8.76911i −0.137860 0.378768i
\(537\) −1.31297 28.8831i −0.0566590 1.24640i
\(538\) 1.50432 + 1.26228i 0.0648559 + 0.0544206i
\(539\) −3.81174 2.20071i −0.164183 0.0947911i
\(540\) −3.89101 + 0.533578i −0.167443 + 0.0229615i
\(541\) 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
\(543\) −14.0280 10.7242i −0.602001 0.460218i
\(544\) 5.91837 + 3.41697i 0.253748 + 0.146502i
\(545\) 3.75277 + 3.14895i 0.160751 + 0.134886i
\(546\) −1.74638 + 0.0793875i −0.0747384 + 0.00339747i
\(547\) 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
\(549\) 26.6925 + 18.5479i 1.13921 + 0.791607i
\(550\) 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
\(555\) −3.65678 3.97633i −0.155222 0.168786i
\(556\) 3.38812 + 1.23318i 0.143688 + 0.0522983i
\(557\) 2.42914 2.89494i 0.102926 0.122662i −0.712122 0.702055i \(-0.752266\pi\)
0.815048 + 0.579393i \(0.196710\pi\)
\(558\) −8.82264 + 2.39797i −0.373492 + 0.101514i
\(559\) −4.39021 + 2.53469i −0.185686 + 0.107206i
\(560\) −1.15813 0.204209i −0.0489397 0.00862940i
\(561\) 11.1030 2.48238i 0.468770 0.104806i
\(562\) −5.85639 10.1436i −0.247037 0.427880i
\(563\) −5.99208 + 10.3786i −0.252536 + 0.437406i −0.964223 0.265091i \(-0.914598\pi\)
0.711687 + 0.702496i \(0.247931\pi\)
\(564\) −5.21962 1.63545i −0.219786 0.0688650i
\(565\) 2.59510 7.12998i 0.109177 0.299960i
\(566\) 6.59684 2.40105i 0.277286 0.100924i
\(567\) 9.07767 + 10.6620i 0.381226 + 0.447764i
\(568\) −0.00595218 0.0337565i −0.000249748 0.00141639i
\(569\) −11.2148 −0.470147 −0.235074 0.971978i \(-0.575533\pi\)
−0.235074 + 0.971978i \(0.575533\pi\)
\(570\) 3.23389 + 4.70162i 0.135453 + 0.196929i
\(571\) 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
\(573\) −9.61733 + 18.5559i −0.401770 + 0.775185i
\(574\) −7.82048 + 2.84642i −0.326421 + 0.118807i
\(575\) 1.77435 4.87499i 0.0739956 0.203301i
\(576\) −2.98763 + 0.272187i −0.124484 + 0.0113411i
\(577\) −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
\(579\) −1.26400 5.65351i −0.0525299 0.234952i
\(580\) −5.98686 1.05564i −0.248591 0.0438333i
\(581\) 16.3145 9.41916i 0.676838 0.390772i
\(582\) 2.16203 16.6531i 0.0896192 0.690291i
\(583\) −8.95984 + 10.6779i −0.371079 + 0.442234i
\(584\) −3.73458 1.35928i −0.154538 0.0562473i
\(585\) 0.616863 1.33535i 0.0255041 0.0552101i
\(586\) 1.97785 1.65961i 0.0817041 0.0685579i
\(587\) 19.5628 3.44945i 0.807444 0.142374i 0.245336 0.969438i \(-0.421102\pi\)
0.562108 + 0.827064i \(0.309991\pi\)
\(588\) −3.04837 7.32224i −0.125713 0.301964i
\(589\) 8.87470 + 9.88463i 0.365676 + 0.407289i
\(590\) 8.80076i 0.362321i
\(591\) −5.55081 8.67864i −0.228330 0.356992i
\(592\) −2.65245 3.16107i −0.109015 0.129919i
\(593\) 7.64203 + 20.9963i 0.313821 + 0.862215i 0.991876 + 0.127205i \(0.0406006\pi\)
−0.678056 + 0.735010i \(0.737177\pi\)
\(594\) −3.35430 + 3.70036i −0.137629 + 0.151827i
\(595\) 6.15644 + 5.16587i 0.252390 + 0.211780i
\(596\) 16.5946 + 9.58089i 0.679741 + 0.392449i
\(597\) 11.7576 15.3799i 0.481208 0.629456i
\(598\) −0.131956 + 0.748362i −0.00539610 + 0.0306028i
\(599\) −2.89198 + 16.4012i −0.118163 + 0.670136i 0.866972 + 0.498356i \(0.166063\pi\)
−0.985135 + 0.171780i \(0.945048\pi\)
\(600\) −4.65874 + 6.09399i −0.190192 + 0.248786i
\(601\) 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
\(603\) −11.9224 25.3301i −0.485519 1.03152i
\(604\) −6.58814 18.1008i −0.268068 0.736510i
\(605\) 4.89540 + 5.83411i 0.199026 + 0.237191i
\(606\) 17.5598 + 27.4546i 0.713318 + 1.11527i
\(607\) 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
\(612\) 18.6119 + 8.59774i 0.752343 + 0.347543i
\(613\) −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
\(615\) 0.901563 6.94428i 0.0363545 0.280020i
\(616\) −1.29512 + 0.747736i −0.0521818 + 0.0301272i
\(617\) −20.3648 3.59086i −0.819854 0.144562i −0.252038 0.967717i \(-0.581101\pi\)
−0.567817 + 0.823155i \(0.692212\pi\)
\(618\) −4.33272 19.3791i −0.174288 0.779541i
\(619\) 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
\(621\) 5.38390 2.83960i 0.216048 0.113949i
\(622\) −8.88236 + 24.4041i −0.356150 + 0.978515i
\(623\) −8.93358 + 3.25156i −0.357916 + 0.130271i
\(624\) 0.517031 0.997571i 0.0206978 0.0399348i
\(625\) 2.90984 + 16.5025i 0.116394 + 0.660101i
\(626\) 13.4088 0.535925
\(627\) 6.99348 + 1.93668i 0.279293 + 0.0773435i
\(628\) 0.213836 0.00853299
\(629\) 4.89690 + 27.7717i 0.195252 + 1.10733i
\(630\) −3.51563 0.294873i −0.140066 0.0117480i
\(631\) −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
\(633\) −35.1400 11.0103i −1.39669 0.437622i
\(634\) 15.2117 26.3474i 0.604132 1.04639i
\(635\) −5.26287 9.11556i −0.208851 0.361740i
\(636\) −24.5132 + 5.48061i −0.972014 + 0.217320i
\(637\) 2.92545 + 0.515836i 0.115911 + 0.0204382i
\(638\) −6.69503 + 3.86538i −0.265059 + 0.153032i
\(639\) −0.0269710 0.0992317i −0.00106695 0.00392554i
\(640\) 0.485841 0.579002i 0.0192045 0.0228871i
\(641\) 7.37099 + 2.68282i 0.291137 + 0.105965i 0.483460 0.875367i \(-0.339380\pi\)
−0.192323 + 0.981332i \(0.561602\pi\)
\(642\) −2.76289 3.00432i −0.109042 0.118571i
\(643\) 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 \(-0.961025\pi\)
0.992513 0.122137i \(-0.0389747\pi\)
\(648\) −8.85183 + 1.62639i −0.347733 + 0.0638905i
\(649\) 7.19386 + 8.57331i 0.282384 + 0.336532i
\(650\) −0.982605 2.69969i −0.0385410 0.105890i
\(651\) −8.20435 + 0.372955i −0.321554 + 0.0146173i
\(652\) −11.5162 9.66326i −0.451010 0.378442i
\(653\) 23.3831 + 13.5002i 0.915050 + 0.528304i 0.882053 0.471151i \(-0.156161\pi\)
0.0329976 + 0.999455i \(0.489495\pi\)
\(654\) 8.91857 + 6.81808i 0.348744 + 0.266608i
\(655\) −1.46082 + 8.28473i −0.0570790 + 0.323711i
\(656\) 0.928838 5.26770i 0.0362650 0.205669i
\(657\) −11.5275 3.04451i −0.449731 0.118778i
\(658\) −4.25522 2.45676i −0.165886 0.0957743i
\(659\) −23.3482 19.5915i −0.909517 0.763176i 0.0625097 0.998044i \(-0.480090\pi\)
−0.972027 + 0.234869i \(0.924534\pi\)
\(660\) −0.0571415 1.25701i −0.00222423 0.0489291i
\(661\) −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
\(663\) −6.46866 + 4.13732i −0.251222 + 0.160680i
\(664\) 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
\(669\) 17.5637 16.1522i 0.679051 0.624480i
\(670\) 6.62799 + 2.41239i 0.256062 + 0.0931989i
\(671\) −6.69399 + 7.97759i −0.258419 + 0.307971i
\(672\) −2.67245 0.346959i −0.103092 0.0133842i
\(673\) 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
\(675\) −12.2599 + 19.4746i −0.471883 + 0.749578i
\(676\) −6.28959 10.8939i −0.241907 0.418996i
\(677\) 19.6720 34.0729i 0.756057 1.30953i −0.188791 0.982017i \(-0.560457\pi\)
0.944847 0.327511i \(-0.106210\pi\)
\(678\) 5.19876 16.5921i 0.199657 0.637215i
\(679\) 5.15932 14.1751i 0.197996 0.543991i
\(680\) −4.85382 + 1.76665i −0.186136 + 0.0677478i
\(681\) −24.8945 12.9026i −0.953961 0.494428i
\(682\) −0.508657 2.88474i −0.0194775 0.110462i
\(683\) −12.0176 −0.459840 −0.229920 0.973210i \(-0.573846\pi\)
−0.229920 + 0.973210i \(0.573846\pi\)
\(684\) 7.89233 + 10.4265i 0.301771 + 0.398666i
\(685\) 3.75147 0.143336
\(686\) −3.12844 17.7422i −0.119444 0.677402i
\(687\) −39.4382 20.4404i −1.50466 0.779849i
\(688\) −7.34330 + 2.67274i −0.279961 + 0.101897i
\(689\) 3.21761 8.84031i 0.122581 0.336789i
\(690\) −0.458523 + 1.46340i −0.0174557 + 0.0557105i
\(691\) −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
\(693\) −3.66580 + 2.58647i −0.139252 + 0.0982519i
\(694\) −27.7308 4.88969i −1.05265 0.185610i
\(695\) −2.36010 + 1.36260i −0.0895237 + 0.0516865i
\(696\) −13.8150 1.79358i −0.523658 0.0679855i
\(697\) −23.4968 + 28.0024i −0.890006 + 1.06067i
\(698\) −18.4021 6.69781i −0.696530 0.253516i
\(699\) −14.8397 + 13.6471i −0.561288 + 0.516181i
\(700\) −5.27849 + 4.42918i −0.199508 + 0.167407i
\(701\) 2.95841 0.521647i 0.111738 0.0197023i −0.117500 0.993073i \(-0.537488\pi\)
0.229237 + 0.973371i \(0.426377\pi\)
\(702\) 1.27317 3.12110i 0.0480527 0.117798i
\(703\) −5.58262 + 17.0986i −0.210552 + 0.644887i
\(704\) 0.961171i 0.0362255i
\(705\) 3.48284 2.22760i 0.131171 0.0838964i
\(706\) −2.63528 3.14061i −0.0991801 0.118198i
\(707\) 10.0127 + 27.5097i 0.376567 + 1.03461i
\(708\) 0.915838 + 20.1468i 0.0344193 + 0.757163i
\(709\) 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
\(711\) 1.06439 4.03013i 0.0399178 0.151142i
\(712\) 1.06104 6.01746i 0.0397642 0.225514i
\(713\) −0.619918 + 3.51573i −0.0232161 + 0.131665i
\(714\) 14.6310 + 11.1851i 0.547551 + 0.418592i
\(715\) 0.408138 + 0.235639i 0.0152635 + 0.00881239i
\(716\) 12.7875 + 10.7300i 0.477891 + 0.400998i
\(717\) 26.3391 1.19733i 0.983650 0.0447150i
\(718\) −1.91864 5.27142i −0.0716030 0.196728i
\(719\) −7.13781 8.50651i −0.266195 0.317239i 0.616345 0.787476i \(-0.288613\pi\)
−0.882540 + 0.470237i \(0.844168\pi\)
\(720\) 1.29391 1.86208i 0.0482213 0.0693957i
\(721\) 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
\(726\) 11.8137 + 12.8461i 0.438449 + 0.476763i
\(727\) 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
\(729\) −26.0033 + 7.26839i −0.963084 + 0.269199i
\(730\) 2.60144 1.50194i 0.0962835 0.0555893i
\(731\) 52.5931 + 9.27357i 1.94522 + 0.342996i
\(732\) −18.3141 + 4.09462i −0.676908 + 0.151341i
\(733\) −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
\(735\) 5.72062 + 1.79243i 0.211008 + 0.0661147i
\(736\) −0.400647 + 1.10077i −0.0147681 + 0.0405749i
\(737\) 8.42862 3.06777i 0.310472 0.113003i
\(738\) 1.34122 15.9908i 0.0493711 0.588628i
\(739\) −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
\(741\) −4.88240 + 0.386069i −0.179360 + 0.0141826i
\(742\) −22.5637 −0.828339
\(743\) 4.59818 + 26.0776i 0.168691 + 0.956693i 0.945177 + 0.326559i \(0.105889\pi\)
−0.776486 + 0.630134i \(0.783000\pi\)
\(744\) 2.42896 4.68649i 0.0890500 0.171815i
\(745\) −13.6097 + 4.95352i −0.498620 + 0.181483i
\(746\) −7.20414 + 19.7932i −0.263762 + 0.724681i
\(747\) 3.29558 + 36.1735i 0.120579 + 1.32352i
\(748\) −3.28430 + 5.68857i −0.120086 + 0.207995i
\(749\) −1.83324 3.17526i −0.0669850 0.116021i
\(750\) −2.69324 12.0461i −0.0983433 0.439863i
\(751\) 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
\(753\) −2.41913 + 18.6333i −0.0881581 + 0.679037i
\(754\) 3.35381 3.99691i 0.122139 0.145559i
\(755\) 13.6812 + 4.97954i 0.497909 + 0.181224i
\(756\) −8.07871 0.309178i −0.293820 0.0112447i
\(757\) −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 \(0.113123\pi\)
−0.937512 + 0.347953i \(0.886877\pi\)
\(762\) −12.9964 20.3198i −0.470811 0.736108i
\(763\) 6.48211 + 7.72508i 0.234668 + 0.279667i
\(764\) −4.12705 11.3390i −0.149311 0.410230i
\(765\) −14.0206 + 6.59923i −0.506914 + 0.238596i
\(766\) 5.96084 + 5.00173i 0.215374 + 0.180720i
\(767\) −6.54145 3.77671i −0.236198 0.136369i
\(768\) 1.05194 1.37602i 0.0379586 0.0496528i
\(769\) −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
\(771\) 0.0476157 0.0622851i