Properties

Label 570.2.s.b.221.8
Level $570$
Weight $2$
Character 570.221
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 221.8
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.b.521.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.800591 + 1.53592i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.929852 + 1.46129i) q^{6} -4.66317 q^{7} -1.00000 q^{8} +(-1.71811 + 2.45929i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.800591 + 1.53592i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.929852 + 1.46129i) q^{6} -4.66317 q^{7} -1.00000 q^{8} +(-1.71811 + 2.45929i) q^{9} +(-0.866025 - 0.500000i) q^{10} -3.04774i q^{11} +(-1.73044 - 0.0746290i) q^{12} +(3.56832 + 2.06017i) q^{13} +(-2.33159 - 4.03843i) q^{14} +(-1.46129 - 0.929852i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-2.22857 + 1.28666i) q^{17} +(-2.98886 - 0.258282i) q^{18} +(-3.71368 + 2.28223i) q^{19} -1.00000i q^{20} +(-3.73329 - 7.16227i) q^{21} +(2.63942 - 1.52387i) q^{22} +(-0.586222 - 0.338456i) q^{23} +(-0.800591 - 1.53592i) q^{24} +(0.500000 - 0.866025i) q^{25} +4.12034i q^{26} +(-5.15278 - 0.669999i) q^{27} +(2.33159 - 4.03843i) q^{28} +(0.992204 - 1.71855i) q^{29} +(0.0746290 - 1.73044i) q^{30} +4.29688i q^{31} +(0.500000 - 0.866025i) q^{32} +(4.68109 - 2.43999i) q^{33} +(-2.22857 - 1.28666i) q^{34} +(4.03843 - 2.33159i) q^{35} +(-1.27075 - 2.71757i) q^{36} +4.49734i q^{37} +(-3.83331 - 2.07503i) q^{38} +(-0.307497 + 7.13001i) q^{39} +(0.866025 - 0.500000i) q^{40} +(1.65691 + 2.86985i) q^{41} +(4.33606 - 6.81426i) q^{42} +(2.86613 + 4.96428i) q^{43} +(2.63942 + 1.52387i) q^{44} +(0.258282 - 2.98886i) q^{45} -0.676911i q^{46} +(7.58882 + 4.38141i) q^{47} +(0.929852 - 1.46129i) q^{48} +14.7452 q^{49} +1.00000 q^{50} +(-3.76038 - 2.39281i) q^{51} +(-3.56832 + 2.06017i) q^{52} +(-4.57343 + 7.92141i) q^{53} +(-1.99615 - 4.79743i) q^{54} +(1.52387 + 2.63942i) q^{55} +4.66317 q^{56} +(-6.47846 - 3.87680i) q^{57} +1.98441 q^{58} +(-6.02522 - 10.4360i) q^{59} +(1.53592 - 0.800591i) q^{60} +(-6.95089 + 12.0393i) q^{61} +(-3.72120 + 2.14844i) q^{62} +(8.01184 - 11.4681i) q^{63} +1.00000 q^{64} -4.12034 q^{65} +(4.45364 + 2.83395i) q^{66} +(-2.56373 - 1.48017i) q^{67} -2.57333i q^{68} +(0.0505172 - 1.17136i) q^{69} +(4.03843 + 2.33159i) q^{70} +(-6.25422 - 10.8326i) q^{71} +(1.71811 - 2.45929i) q^{72} +(2.18577 + 3.78586i) q^{73} +(-3.89481 + 2.24867i) q^{74} +(1.73044 + 0.0746290i) q^{75} +(-0.119625 - 4.35726i) q^{76} +14.2121i q^{77} +(-6.32852 + 3.29871i) q^{78} +(6.74543 - 3.89448i) q^{79} +(0.866025 + 0.500000i) q^{80} +(-3.09620 - 8.45065i) q^{81} +(-1.65691 + 2.86985i) q^{82} +2.61607i q^{83} +(8.06935 + 0.348008i) q^{84} +(1.28666 - 2.22857i) q^{85} +(-2.86613 + 4.96428i) q^{86} +(3.43390 + 0.148094i) q^{87} +3.04774i q^{88} +(4.81262 - 8.33571i) q^{89} +(2.71757 - 1.27075i) q^{90} +(-16.6397 - 9.60693i) q^{91} +(0.586222 - 0.338456i) q^{92} +(-6.59966 + 3.44004i) q^{93} +8.76281i q^{94} +(2.07503 - 3.83331i) q^{95} +(1.73044 + 0.0746290i) q^{96} +(-8.00346 + 4.62080i) q^{97} +(7.37259 + 12.7697i) q^{98} +(7.49527 + 5.23635i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + O(q^{10}) \) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + 2q^{12} + 18q^{13} - 6q^{14} - 12q^{16} - 12q^{17} - 2q^{18} + 6q^{19} + 6q^{21} + 18q^{22} - 2q^{24} + 12q^{25} - 28q^{27} + 6q^{28} + 12q^{32} - 8q^{33} - 12q^{34} - 4q^{36} - 6q^{38} + 40q^{39} - 6q^{41} - 6q^{42} - 22q^{43} + 18q^{44} + 8q^{45} - 12q^{47} - 4q^{48} + 12q^{49} + 24q^{50} - 4q^{51} - 18q^{52} - 8q^{53} - 32q^{54} + 12q^{56} - 20q^{57} - 26q^{59} + 22q^{61} + 18q^{62} + 30q^{63} + 24q^{64} - 8q^{65} - 22q^{66} - 48q^{67} + 64q^{69} - 24q^{71} - 2q^{72} - 8q^{73} - 30q^{74} - 2q^{75} - 12q^{76} + 2q^{78} + 18q^{79} - 6q^{81} + 6q^{82} - 12q^{84} + 22q^{86} - 24q^{87} - 28q^{89} + 16q^{90} + 18q^{91} + 14q^{93} - 2q^{96} + 6q^{97} + 6q^{98} - 52q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 0.800591 + 1.53592i 0.462221 + 0.886765i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −0.929852 + 1.46129i −0.379610 + 0.596570i
\(7\) −4.66317 −1.76251 −0.881257 0.472638i \(-0.843302\pi\)
−0.881257 + 0.472638i \(0.843302\pi\)
\(8\) −1.00000 −0.353553
\(9\) −1.71811 + 2.45929i −0.572703 + 0.819763i
\(10\) −0.866025 0.500000i −0.273861 0.158114i
\(11\) 3.04774i 0.918928i −0.888196 0.459464i \(-0.848041\pi\)
0.888196 0.459464i \(-0.151959\pi\)
\(12\) −1.73044 0.0746290i −0.499536 0.0215435i
\(13\) 3.56832 + 2.06017i 0.989674 + 0.571389i 0.905177 0.425035i \(-0.139738\pi\)
0.0844972 + 0.996424i \(0.473072\pi\)
\(14\) −2.33159 4.03843i −0.623143 1.07931i
\(15\) −1.46129 0.929852i −0.377304 0.240087i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −2.22857 + 1.28666i −0.540506 + 0.312062i −0.745284 0.666747i \(-0.767686\pi\)
0.204778 + 0.978808i \(0.434353\pi\)
\(18\) −2.98886 0.258282i −0.704481 0.0608777i
\(19\) −3.71368 + 2.28223i −0.851977 + 0.523579i
\(20\) 1.00000i 0.223607i
\(21\) −3.73329 7.16227i −0.814671 1.56293i
\(22\) 2.63942 1.52387i 0.562726 0.324890i
\(23\) −0.586222 0.338456i −0.122236 0.0705729i 0.437635 0.899153i \(-0.355816\pi\)
−0.559871 + 0.828580i \(0.689149\pi\)
\(24\) −0.800591 1.53592i −0.163420 0.313519i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 4.12034i 0.808066i
\(27\) −5.15278 0.669999i −0.991652 0.128941i
\(28\) 2.33159 4.03843i 0.440628 0.763191i
\(29\) 0.992204 1.71855i 0.184248 0.319126i −0.759075 0.651003i \(-0.774348\pi\)
0.943323 + 0.331877i \(0.107682\pi\)
\(30\) 0.0746290 1.73044i 0.0136253 0.315934i
\(31\) 4.29688i 0.771742i 0.922553 + 0.385871i \(0.126099\pi\)
−0.922553 + 0.385871i \(0.873901\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 4.68109 2.43999i 0.814873 0.424748i
\(34\) −2.22857 1.28666i −0.382196 0.220661i
\(35\) 4.03843 2.33159i 0.682619 0.394110i
\(36\) −1.27075 2.71757i −0.211792 0.452928i
\(37\) 4.49734i 0.739358i 0.929160 + 0.369679i \(0.120532\pi\)
−0.929160 + 0.369679i \(0.879468\pi\)
\(38\) −3.83331 2.07503i −0.621845 0.336614i
\(39\) −0.307497 + 7.13001i −0.0492389 + 1.14172i
\(40\) 0.866025 0.500000i 0.136931 0.0790569i
\(41\) 1.65691 + 2.86985i 0.258766 + 0.448195i 0.965912 0.258872i \(-0.0833509\pi\)
−0.707146 + 0.707068i \(0.750018\pi\)
\(42\) 4.33606 6.81426i 0.669069 1.05146i
\(43\) 2.86613 + 4.96428i 0.437080 + 0.757045i 0.997463 0.0711889i \(-0.0226793\pi\)
−0.560383 + 0.828234i \(0.689346\pi\)
\(44\) 2.63942 + 1.52387i 0.397908 + 0.229732i
\(45\) 0.258282 2.98886i 0.0385025 0.445553i
\(46\) 0.676911i 0.0998051i
\(47\) 7.58882 + 4.38141i 1.10694 + 0.639094i 0.938036 0.346538i \(-0.112643\pi\)
0.168907 + 0.985632i \(0.445976\pi\)
\(48\) 0.929852 1.46129i 0.134213 0.210919i
\(49\) 14.7452 2.10645
\(50\) 1.00000 0.141421
\(51\) −3.76038 2.39281i −0.526559 0.335061i
\(52\) −3.56832 + 2.06017i −0.494837 + 0.285694i
\(53\) −4.57343 + 7.92141i −0.628209 + 1.08809i 0.359702 + 0.933067i \(0.382878\pi\)
−0.987911 + 0.155023i \(0.950455\pi\)
\(54\) −1.99615 4.79743i −0.271642 0.652848i
\(55\) 1.52387 + 2.63942i 0.205479 + 0.355899i
\(56\) 4.66317 0.623143
\(57\) −6.47846 3.87680i −0.858093 0.513494i
\(58\) 1.98441 0.260566
\(59\) −6.02522 10.4360i −0.784417 1.35865i −0.929347 0.369208i \(-0.879629\pi\)
0.144930 0.989442i \(-0.453704\pi\)
\(60\) 1.53592 0.800591i 0.198287 0.103356i
\(61\) −6.95089 + 12.0393i −0.889971 + 1.54147i −0.0500626 + 0.998746i \(0.515942\pi\)
−0.839908 + 0.542729i \(0.817391\pi\)
\(62\) −3.72120 + 2.14844i −0.472593 + 0.272852i
\(63\) 8.01184 11.4681i 1.00940 1.44484i
\(64\) 1.00000 0.125000
\(65\) −4.12034 −0.511066
\(66\) 4.45364 + 2.83395i 0.548205 + 0.348835i
\(67\) −2.56373 1.48017i −0.313210 0.180832i 0.335152 0.942164i \(-0.391212\pi\)
−0.648362 + 0.761332i \(0.724546\pi\)
\(68\) 2.57333i 0.312062i
\(69\) 0.0505172 1.17136i 0.00608156 0.141015i
\(70\) 4.03843 + 2.33159i 0.482684 + 0.278678i
\(71\) −6.25422 10.8326i −0.742239 1.28560i −0.951473 0.307731i \(-0.900430\pi\)
0.209234 0.977866i \(-0.432903\pi\)
\(72\) 1.71811 2.45929i 0.202481 0.289830i
\(73\) 2.18577 + 3.78586i 0.255825 + 0.443101i 0.965119 0.261811i \(-0.0843197\pi\)
−0.709295 + 0.704912i \(0.750986\pi\)
\(74\) −3.89481 + 2.24867i −0.452763 + 0.261403i
\(75\) 1.73044 + 0.0746290i 0.199814 + 0.00861742i
\(76\) −0.119625 4.35726i −0.0137219 0.499812i
\(77\) 14.2121i 1.61962i
\(78\) −6.32852 + 3.29871i −0.716564 + 0.373505i
\(79\) 6.74543 3.89448i 0.758921 0.438163i −0.0699875 0.997548i \(-0.522296\pi\)
0.828908 + 0.559385i \(0.188963\pi\)
\(80\) 0.866025 + 0.500000i 0.0968246 + 0.0559017i
\(81\) −3.09620 8.45065i −0.344022 0.938962i
\(82\) −1.65691 + 2.86985i −0.182975 + 0.316922i
\(83\) 2.61607i 0.287151i 0.989639 + 0.143576i \(0.0458601\pi\)
−0.989639 + 0.143576i \(0.954140\pi\)
\(84\) 8.06935 + 0.348008i 0.880438 + 0.0379708i
\(85\) 1.28666 2.22857i 0.139558 0.241722i
\(86\) −2.86613 + 4.96428i −0.309062 + 0.535312i
\(87\) 3.43390 + 0.148094i 0.368153 + 0.0158774i
\(88\) 3.04774i 0.324890i
\(89\) 4.81262 8.33571i 0.510137 0.883583i −0.489794 0.871838i \(-0.662928\pi\)
0.999931 0.0117449i \(-0.00373860\pi\)
\(90\) 2.71757 1.27075i 0.286457 0.133949i
\(91\) −16.6397 9.60693i −1.74431 1.00708i
\(92\) 0.586222 0.338456i 0.0611179 0.0352864i
\(93\) −6.59966 + 3.44004i −0.684353 + 0.356715i
\(94\) 8.76281i 0.903815i
\(95\) 2.07503 3.83331i 0.212894 0.393289i
\(96\) 1.73044 + 0.0746290i 0.176613 + 0.00761679i
\(97\) −8.00346 + 4.62080i −0.812628 + 0.469171i −0.847868 0.530208i \(-0.822114\pi\)
0.0352396 + 0.999379i \(0.488781\pi\)
\(98\) 7.37259 + 12.7697i 0.744744 + 1.28993i
\(99\) 7.49527 + 5.23635i 0.753303 + 0.526273i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 9.90594 + 5.71920i 0.985678 + 0.569081i 0.903980 0.427576i \(-0.140632\pi\)
0.0816985 + 0.996657i \(0.473966\pi\)
\(102\) 0.192045 4.45299i 0.0190153 0.440912i
\(103\) 17.4744i 1.72181i 0.508767 + 0.860904i \(0.330101\pi\)
−0.508767 + 0.860904i \(0.669899\pi\)
\(104\) −3.56832 2.06017i −0.349903 0.202016i
\(105\) 6.81426 + 4.33606i 0.665004 + 0.423156i
\(106\) −9.14686 −0.888422
\(107\) 18.8110 1.81853 0.909265 0.416217i \(-0.136644\pi\)
0.909265 + 0.416217i \(0.136644\pi\)
\(108\) 3.15662 4.12744i 0.303746 0.397163i
\(109\) −6.30002 + 3.63732i −0.603432 + 0.348392i −0.770391 0.637572i \(-0.779939\pi\)
0.166958 + 0.985964i \(0.446605\pi\)
\(110\) −1.52387 + 2.63942i −0.145295 + 0.251659i
\(111\) −6.90756 + 3.60053i −0.655637 + 0.341747i
\(112\) 2.33159 + 4.03843i 0.220314 + 0.381595i
\(113\) 12.7918 1.20335 0.601675 0.798741i \(-0.294500\pi\)
0.601675 + 0.798741i \(0.294500\pi\)
\(114\) 0.118175 7.54891i 0.0110681 0.707020i
\(115\) 0.676911 0.0631223
\(116\) 0.992204 + 1.71855i 0.0921238 + 0.159563i
\(117\) −11.1973 + 5.23593i −1.03519 + 0.484062i
\(118\) 6.02522 10.4360i 0.554667 0.960711i
\(119\) 10.3922 5.99993i 0.952650 0.550013i
\(120\) 1.46129 + 0.929852i 0.133397 + 0.0848835i
\(121\) 1.71128 0.155571
\(122\) −13.9018 −1.25861
\(123\) −3.08136 + 4.84246i −0.277837 + 0.436630i
\(124\) −3.72120 2.14844i −0.334174 0.192935i
\(125\) 1.00000i 0.0894427i
\(126\) 13.9376 + 1.20442i 1.24166 + 0.107298i
\(127\) −17.7898 10.2710i −1.57859 0.911401i −0.995056 0.0993135i \(-0.968335\pi\)
−0.583536 0.812087i \(-0.698331\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −5.33014 + 8.37650i −0.469293 + 0.737509i
\(130\) −2.06017 3.56832i −0.180689 0.312962i
\(131\) −3.28692 + 1.89770i −0.287180 + 0.165803i −0.636669 0.771137i \(-0.719688\pi\)
0.349490 + 0.936940i \(0.386355\pi\)
\(132\) −0.227450 + 5.27394i −0.0197970 + 0.459037i
\(133\) 17.3175 10.6424i 1.50162 0.922815i
\(134\) 2.96034i 0.255735i
\(135\) 4.79743 1.99615i 0.412897 0.171801i
\(136\) 2.22857 1.28666i 0.191098 0.110330i
\(137\) −5.64269 3.25781i −0.482087 0.278333i 0.239199 0.970971i \(-0.423115\pi\)
−0.721286 + 0.692637i \(0.756449\pi\)
\(138\) 1.03968 0.541929i 0.0885037 0.0461320i
\(139\) 4.11100 7.12045i 0.348690 0.603949i −0.637327 0.770594i \(-0.719960\pi\)
0.986017 + 0.166645i \(0.0532932\pi\)
\(140\) 4.66317i 0.394110i
\(141\) −0.653960 + 15.1635i −0.0550734 + 1.27700i
\(142\) 6.25422 10.8326i 0.524843 0.909054i
\(143\) 6.27887 10.8753i 0.525065 0.909439i
\(144\) 2.98886 + 0.258282i 0.249072 + 0.0215235i
\(145\) 1.98441i 0.164796i
\(146\) −2.18577 + 3.78586i −0.180895 + 0.313320i
\(147\) 11.8049 + 22.6474i 0.973648 + 1.86793i
\(148\) −3.89481 2.24867i −0.320151 0.184840i
\(149\) −2.16323 + 1.24894i −0.177219 + 0.102317i −0.585985 0.810322i \(-0.699292\pi\)
0.408767 + 0.912639i \(0.365959\pi\)
\(150\) 0.800591 + 1.53592i 0.0653679 + 0.125407i
\(151\) 9.36390i 0.762023i 0.924570 + 0.381012i \(0.124424\pi\)
−0.924570 + 0.381012i \(0.875576\pi\)
\(152\) 3.71368 2.28223i 0.301219 0.185113i
\(153\) 0.664645 7.69131i 0.0537333 0.621806i
\(154\) −12.3081 + 7.10607i −0.991813 + 0.572623i
\(155\) −2.14844 3.72120i −0.172567 0.298894i
\(156\) −6.02102 3.83131i −0.482068 0.306750i
\(157\) 7.71370 + 13.3605i 0.615620 + 1.06629i 0.990275 + 0.139121i \(0.0444277\pi\)
−0.374655 + 0.927164i \(0.622239\pi\)
\(158\) 6.74543 + 3.89448i 0.536638 + 0.309828i
\(159\) −15.8281 0.682621i −1.25525 0.0541354i
\(160\) 1.00000i 0.0790569i
\(161\) 2.73366 + 1.57828i 0.215442 + 0.124386i
\(162\) 5.77038 6.90671i 0.453364 0.542643i
\(163\) 7.94366 0.622196 0.311098 0.950378i \(-0.399303\pi\)
0.311098 + 0.950378i \(0.399303\pi\)
\(164\) −3.31382 −0.258766
\(165\) −2.83395 + 4.45364i −0.220622 + 0.346715i
\(166\) −2.26559 + 1.30804i −0.175844 + 0.101523i
\(167\) 2.97913 5.16001i 0.230532 0.399293i −0.727433 0.686179i \(-0.759287\pi\)
0.957965 + 0.286886i \(0.0926200\pi\)
\(168\) 3.73329 + 7.16227i 0.288030 + 0.552581i
\(169\) 1.98861 + 3.44437i 0.152970 + 0.264952i
\(170\) 2.57333 0.197365
\(171\) 0.767862 13.0541i 0.0587199 0.998275i
\(172\) −5.73225 −0.437080
\(173\) 4.02441 + 6.97047i 0.305970 + 0.529955i 0.977477 0.211043i \(-0.0676860\pi\)
−0.671507 + 0.740998i \(0.734353\pi\)
\(174\) 1.58870 + 3.04790i 0.120439 + 0.231060i
\(175\) −2.33159 + 4.03843i −0.176251 + 0.305276i
\(176\) −2.63942 + 1.52387i −0.198954 + 0.114866i
\(177\) 11.2051 17.6092i 0.842229 1.32359i
\(178\) 9.62524 0.721443
\(179\) −9.52738 −0.712109 −0.356055 0.934465i \(-0.615878\pi\)
−0.356055 + 0.934465i \(0.615878\pi\)
\(180\) 2.45929 + 1.71811i 0.183305 + 0.128060i
\(181\) −14.9311 8.62045i −1.10982 0.640753i −0.171035 0.985265i \(-0.554711\pi\)
−0.938782 + 0.344512i \(0.888045\pi\)
\(182\) 19.2139i 1.42423i
\(183\) −24.0562 1.03748i −1.77829 0.0766925i
\(184\) 0.586222 + 0.338456i 0.0432169 + 0.0249513i
\(185\) −2.24867 3.89481i −0.165325 0.286352i
\(186\) −6.27899 3.99546i −0.460398 0.292961i
\(187\) 3.92141 + 6.79209i 0.286762 + 0.496687i
\(188\) −7.58882 + 4.38141i −0.553472 + 0.319547i
\(189\) 24.0283 + 3.12432i 1.74780 + 0.227261i
\(190\) 4.35726 0.119625i 0.316109 0.00867847i
\(191\) 14.9575i 1.08228i 0.840931 + 0.541142i \(0.182008\pi\)
−0.840931 + 0.541142i \(0.817992\pi\)
\(192\) 0.800591 + 1.53592i 0.0577776 + 0.110846i
\(193\) 18.0958 10.4476i 1.30257 0.752037i 0.321723 0.946834i \(-0.395738\pi\)
0.980844 + 0.194797i \(0.0624047\pi\)
\(194\) −8.00346 4.62080i −0.574615 0.331754i
\(195\) −3.29871 6.32852i −0.236225 0.453195i
\(196\) −7.37259 + 12.7697i −0.526614 + 0.912122i
\(197\) 22.6541i 1.61404i −0.590526 0.807019i \(-0.701080\pi\)
0.590526 0.807019i \(-0.298920\pi\)
\(198\) −0.787178 + 9.10927i −0.0559423 + 0.647368i
\(199\) 3.33437 5.77531i 0.236367 0.409401i −0.723302 0.690532i \(-0.757376\pi\)
0.959669 + 0.281132i \(0.0907097\pi\)
\(200\) −0.500000 + 0.866025i −0.0353553 + 0.0612372i
\(201\) 0.220927 5.12270i 0.0155830 0.361327i
\(202\) 11.4384i 0.804803i
\(203\) −4.62682 + 8.01389i −0.324739 + 0.562465i
\(204\) 3.95243 2.06018i 0.276725 0.144241i
\(205\) −2.86985 1.65691i −0.200439 0.115724i
\(206\) −15.1333 + 8.73722i −1.05439 + 0.608751i
\(207\) 1.83955 0.860186i 0.127858 0.0597871i
\(208\) 4.12034i 0.285694i
\(209\) 6.95563 + 11.3183i 0.481131 + 0.782906i
\(210\) −0.348008 + 8.06935i −0.0240148 + 0.556838i
\(211\) 21.3930 12.3513i 1.47276 0.850297i 0.473227 0.880941i \(-0.343089\pi\)
0.999530 + 0.0306440i \(0.00975581\pi\)
\(212\) −4.57343 7.92141i −0.314104 0.544045i
\(213\) 11.6310 18.2785i 0.796943 1.25242i
\(214\) 9.40551 + 16.2908i 0.642948 + 1.11362i
\(215\) −4.96428 2.86613i −0.338561 0.195468i
\(216\) 5.15278 + 0.669999i 0.350602 + 0.0455876i
\(217\) 20.0371i 1.36021i
\(218\) −6.30002 3.63732i −0.426691 0.246350i
\(219\) −4.06488 + 6.38809i −0.274679 + 0.431667i
\(220\) −3.04774 −0.205479
\(221\) −10.6030 −0.713234
\(222\) −6.57193 4.18186i −0.441079 0.280668i
\(223\) −4.59604 + 2.65352i −0.307774 + 0.177693i −0.645930 0.763397i \(-0.723530\pi\)
0.338156 + 0.941090i \(0.390197\pi\)
\(224\) −2.33159 + 4.03843i −0.155786 + 0.269829i
\(225\) 1.27075 + 2.71757i 0.0847168 + 0.181171i
\(226\) 6.39589 + 11.0780i 0.425448 + 0.736898i
\(227\) 5.17010 0.343152 0.171576 0.985171i \(-0.445114\pi\)
0.171576 + 0.985171i \(0.445114\pi\)
\(228\) 6.59663 3.67211i 0.436873 0.243192i
\(229\) −12.5671 −0.830459 −0.415230 0.909717i \(-0.636299\pi\)
−0.415230 + 0.909717i \(0.636299\pi\)
\(230\) 0.338456 + 0.586222i 0.0223171 + 0.0386544i
\(231\) −21.8287 + 11.3781i −1.43623 + 0.748624i
\(232\) −0.992204 + 1.71855i −0.0651414 + 0.112828i
\(233\) 20.8093 12.0142i 1.36326 0.787079i 0.373205 0.927749i \(-0.378259\pi\)
0.990057 + 0.140669i \(0.0449255\pi\)
\(234\) −10.1331 7.07920i −0.662422 0.462782i
\(235\) −8.76281 −0.571623
\(236\) 12.0504 0.784417
\(237\) 11.3819 + 7.24257i 0.739337 + 0.470456i
\(238\) 10.3922 + 5.99993i 0.673625 + 0.388918i
\(239\) 12.9191i 0.835668i 0.908523 + 0.417834i \(0.137211\pi\)
−0.908523 + 0.417834i \(0.862789\pi\)
\(240\) −0.0746290 + 1.73044i −0.00481728 + 0.111700i
\(241\) 18.3610 + 10.6007i 1.18273 + 0.682851i 0.956645 0.291256i \(-0.0940731\pi\)
0.226088 + 0.974107i \(0.427406\pi\)
\(242\) 0.855640 + 1.48201i 0.0550026 + 0.0952674i
\(243\) 10.5008 11.5210i 0.673624 0.739075i
\(244\) −6.95089 12.0393i −0.444985 0.770737i
\(245\) −12.7697 + 7.37259i −0.815826 + 0.471018i
\(246\) −5.73437 0.247307i −0.365610 0.0157677i
\(247\) −17.9534 + 0.492894i −1.14235 + 0.0313621i
\(248\) 4.29688i 0.272852i
\(249\) −4.01809 + 2.09440i −0.254636 + 0.132727i
\(250\) −0.866025 + 0.500000i −0.0547723 + 0.0316228i
\(251\) −16.2979 9.40959i −1.02871 0.593928i −0.112098 0.993697i \(-0.535757\pi\)
−0.916616 + 0.399769i \(0.869090\pi\)
\(252\) 5.92573 + 12.6725i 0.373286 + 0.798293i
\(253\) −1.03152 + 1.78665i −0.0648514 + 0.112326i
\(254\) 20.5419i 1.28892i
\(255\) 4.45299 + 0.192045i 0.278857 + 0.0120263i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −4.00449 + 6.93597i −0.249793 + 0.432654i −0.963468 0.267823i \(-0.913696\pi\)
0.713675 + 0.700477i \(0.247029\pi\)
\(258\) −9.91933 0.427792i −0.617550 0.0266332i
\(259\) 20.9719i 1.30313i
\(260\) 2.06017 3.56832i 0.127766 0.221298i
\(261\) 2.52169 + 5.39277i 0.156089 + 0.333804i
\(262\) −3.28692 1.89770i −0.203067 0.117241i
\(263\) −24.6525 + 14.2331i −1.52014 + 0.877653i −0.520421 + 0.853910i \(0.674225\pi\)
−0.999718 + 0.0237431i \(0.992442\pi\)
\(264\) −4.68109 + 2.43999i −0.288101 + 0.150171i
\(265\) 9.14686i 0.561887i
\(266\) 17.8754 + 9.67623i 1.09601 + 0.593288i
\(267\) 16.6559 + 0.718322i 1.01933 + 0.0439606i
\(268\) 2.56373 1.48017i 0.156605 0.0904158i
\(269\) −2.93694 5.08693i −0.179068 0.310155i 0.762493 0.646996i \(-0.223975\pi\)
−0.941562 + 0.336841i \(0.890642\pi\)
\(270\) 4.12744 + 3.15662i 0.251188 + 0.192106i
\(271\) −6.85354 11.8707i −0.416323 0.721092i 0.579243 0.815155i \(-0.303348\pi\)
−0.995566 + 0.0940622i \(0.970015\pi\)
\(272\) 2.22857 + 1.28666i 0.135127 + 0.0780154i
\(273\) 1.43391 33.2485i 0.0867843 2.01229i
\(274\) 6.51561i 0.393622i
\(275\) −2.63942 1.52387i −0.159163 0.0918928i
\(276\) 0.989165 + 0.629427i 0.0595408 + 0.0378871i
\(277\) 15.1954 0.913004 0.456502 0.889722i \(-0.349102\pi\)
0.456502 + 0.889722i \(0.349102\pi\)
\(278\) 8.22199 0.493122
\(279\) −10.5673 7.38250i −0.632645 0.441979i
\(280\) −4.03843 + 2.33159i −0.241342 + 0.139339i
\(281\) −4.27607 + 7.40636i −0.255089 + 0.441827i −0.964920 0.262545i \(-0.915438\pi\)
0.709831 + 0.704372i \(0.248771\pi\)
\(282\) −13.4590 + 7.01543i −0.801472 + 0.417763i
\(283\) −14.1879 24.5741i −0.843382 1.46078i −0.887019 0.461734i \(-0.847228\pi\)
0.0436361 0.999047i \(-0.486106\pi\)
\(284\) 12.5084 0.742239
\(285\) 7.54891 + 0.118175i 0.447159 + 0.00700005i
\(286\) 12.5577 0.742554
\(287\) −7.72645 13.3826i −0.456078 0.789950i
\(288\) 1.27075 + 2.71757i 0.0748797 + 0.160134i
\(289\) −5.18900 + 8.98761i −0.305235 + 0.528683i
\(290\) −1.71855 + 0.992204i −0.100917 + 0.0582642i
\(291\) −13.5047 8.59332i −0.791658 0.503749i
\(292\) −4.37153 −0.255825
\(293\) 7.22309 0.421977 0.210989 0.977489i \(-0.432332\pi\)
0.210989 + 0.977489i \(0.432332\pi\)
\(294\) −13.7108 + 21.5470i −0.799632 + 1.25665i
\(295\) 10.4360 + 6.02522i 0.607607 + 0.350802i
\(296\) 4.49734i 0.261403i
\(297\) −2.04198 + 15.7043i −0.118488 + 0.911257i
\(298\) −2.16323 1.24894i −0.125313 0.0723493i
\(299\) −1.39455 2.41544i −0.0806491 0.139688i
\(300\) −0.929852 + 1.46129i −0.0536850 + 0.0843678i
\(301\) −13.3652 23.1493i −0.770360 1.33430i
\(302\) −8.10937 + 4.68195i −0.466642 + 0.269416i
\(303\) −0.853636 + 19.7935i −0.0490401 + 1.13711i
\(304\) 3.83331 + 2.07503i 0.219855 + 0.119011i
\(305\) 13.9018i 0.796014i
\(306\) 6.99319 3.27006i 0.399774 0.186937i
\(307\) 0.356034 0.205556i 0.0203199 0.0117317i −0.489806 0.871832i \(-0.662932\pi\)
0.510126 + 0.860100i \(0.329599\pi\)
\(308\) −12.3081 7.10607i −0.701318 0.404906i
\(309\) −26.8394 + 13.9899i −1.52684 + 0.795856i
\(310\) 2.14844 3.72120i 0.122023 0.211350i
\(311\) 10.4640i 0.593361i −0.954977 0.296680i \(-0.904120\pi\)
0.954977 0.296680i \(-0.0958796\pi\)
\(312\) 0.307497 7.13001i 0.0174086 0.403658i
\(313\) −0.872105 + 1.51053i −0.0492943 + 0.0853802i −0.889620 0.456702i \(-0.849031\pi\)
0.840325 + 0.542082i \(0.182364\pi\)
\(314\) −7.71370 + 13.3605i −0.435309 + 0.753978i
\(315\) −1.20442 + 13.9376i −0.0678611 + 0.785293i
\(316\) 7.78896i 0.438163i
\(317\) −10.2023 + 17.6710i −0.573021 + 0.992501i 0.423233 + 0.906021i \(0.360895\pi\)
−0.996254 + 0.0864798i \(0.972438\pi\)
\(318\) −7.32289 14.0489i −0.410647 0.787821i
\(319\) −5.23769 3.02398i −0.293254 0.169310i
\(320\) −0.866025 + 0.500000i −0.0484123 + 0.0279508i
\(321\) 15.0599 + 28.8923i 0.840563 + 1.61261i
\(322\) 3.15655i 0.175908i
\(323\) 5.33973 9.86435i 0.297110 0.548867i
\(324\) 8.86658 + 1.54394i 0.492588 + 0.0857745i
\(325\) 3.56832 2.06017i 0.197935 0.114278i
\(326\) 3.97183 + 6.87941i 0.219979 + 0.381015i
\(327\) −10.6304 6.76433i −0.587861 0.374068i
\(328\) −1.65691 2.86985i −0.0914875 0.158461i
\(329\) −35.3880 20.4313i −1.95100 1.12641i
\(330\) −5.27394 0.227450i −0.290321 0.0125207i
\(331\) 3.45155i 0.189714i 0.995491 + 0.0948572i \(0.0302395\pi\)
−0.995491 + 0.0948572i \(0.969761\pi\)
\(332\) −2.26559 1.30804i −0.124340 0.0717879i
\(333\) −11.0603 7.72692i −0.606098 0.423433i
\(334\) 5.95826 0.326022
\(335\) 2.96034 0.161741
\(336\) −4.33606 + 6.81426i −0.236551 + 0.371748i
\(337\) −23.1281 + 13.3530i −1.25987 + 0.727384i −0.973049 0.230601i \(-0.925931\pi\)
−0.286818 + 0.957985i \(0.592598\pi\)
\(338\) −1.98861 + 3.44437i −0.108166 + 0.187349i
\(339\) 10.2410 + 19.6472i 0.556214 + 1.06709i
\(340\) 1.28666 + 2.22857i 0.0697791 + 0.120861i
\(341\) 13.0958 0.709175
\(342\) 11.6891 5.86208i 0.632076 0.316985i
\(343\) −36.1171 −1.95014
\(344\) −2.86613 4.96428i −0.154531 0.267656i
\(345\) 0.541929 + 1.03968i 0.0291765 + 0.0559746i
\(346\) −4.02441 + 6.97047i −0.216353 + 0.374735i
\(347\) −14.4663 + 8.35210i −0.776590 + 0.448364i −0.835220 0.549915i \(-0.814660\pi\)
0.0586306 + 0.998280i \(0.481327\pi\)
\(348\) −1.84521 + 2.89980i −0.0989134 + 0.155446i
\(349\) 32.2768 1.72773 0.863867 0.503719i \(-0.168035\pi\)
0.863867 + 0.503719i \(0.168035\pi\)
\(350\) −4.66317 −0.249257
\(351\) −17.0064 13.0064i −0.907737 0.694229i
\(352\) −2.63942 1.52387i −0.140682 0.0812225i
\(353\) 15.2843i 0.813501i −0.913539 0.406751i \(-0.866662\pi\)
0.913539 0.406751i \(-0.133338\pi\)
\(354\) 20.8526 + 0.899313i 1.10830 + 0.0477979i
\(355\) 10.8326 + 6.25422i 0.574936 + 0.331940i
\(356\) 4.81262 + 8.33571i 0.255068 + 0.441792i
\(357\) 17.5353 + 11.1581i 0.928067 + 0.590549i
\(358\) −4.76369 8.25095i −0.251769 0.436076i
\(359\) −0.917556 + 0.529751i −0.0484267 + 0.0279592i −0.524018 0.851707i \(-0.675568\pi\)
0.475591 + 0.879666i \(0.342234\pi\)
\(360\) −0.258282 + 2.98886i −0.0136127 + 0.157527i
\(361\) 8.58288 16.9509i 0.451731 0.892154i
\(362\) 17.2409i 0.906162i
\(363\) 1.37003 + 2.62839i 0.0719082 + 0.137955i
\(364\) 16.6397 9.60693i 0.872157 0.503540i
\(365\) −3.78586 2.18577i −0.198161 0.114408i
\(366\) −11.1296 21.3521i −0.581756 1.11609i
\(367\) 10.2507 17.7547i 0.535080 0.926786i −0.464079 0.885794i \(-0.653615\pi\)
0.999159 0.0409927i \(-0.0130520\pi\)
\(368\) 0.676911i 0.0352864i
\(369\) −9.90454 0.855901i −0.515610 0.0445564i
\(370\) 2.24867 3.89481i 0.116903 0.202482i
\(371\) 21.3267 36.9389i 1.10723 1.91777i
\(372\) 0.320672 7.43549i 0.0166260 0.385512i
\(373\) 14.8122i 0.766944i 0.923552 + 0.383472i \(0.125272\pi\)
−0.923552 + 0.383472i \(0.874728\pi\)
\(374\) −3.92141 + 6.79209i −0.202771 + 0.351210i
\(375\) −1.53592 + 0.800591i −0.0793146 + 0.0413423i
\(376\) −7.58882 4.38141i −0.391364 0.225954i
\(377\) 7.08101 4.08822i 0.364690 0.210554i
\(378\) 9.30840 + 22.3713i 0.478773 + 1.15065i
\(379\) 4.23226i 0.217397i −0.994075 0.108698i \(-0.965332\pi\)
0.994075 0.108698i \(-0.0346682\pi\)
\(380\) 2.28223 + 3.71368i 0.117076 + 0.190508i
\(381\) 1.53302 35.5466i 0.0785392 1.82111i
\(382\) −12.9535 + 7.47873i −0.662761 + 0.382645i
\(383\) 11.7377 + 20.3303i 0.599768 + 1.03883i 0.992855 + 0.119328i \(0.0380740\pi\)
−0.393087 + 0.919501i \(0.628593\pi\)
\(384\) −0.929852 + 1.46129i −0.0474513 + 0.0745713i
\(385\) −7.10607 12.3081i −0.362159 0.627278i
\(386\) 18.0958 + 10.4476i 0.921054 + 0.531771i
\(387\) −17.1329 1.48054i −0.870914 0.0752601i
\(388\) 9.24160i 0.469171i
\(389\) 14.8140 + 8.55289i 0.751102 + 0.433649i 0.826092 0.563536i \(-0.190559\pi\)
−0.0749902 + 0.997184i \(0.523893\pi\)
\(390\) 3.83131 6.02102i 0.194006 0.304886i
\(391\) 1.74191 0.0880923
\(392\) −14.7452 −0.744744
\(393\) −5.54620 3.52917i −0.279769 0.178023i
\(394\) 19.6190 11.3270i 0.988392 0.570648i
\(395\) −3.89448 + 6.74543i −0.195952 + 0.339400i
\(396\) −8.28245 + 3.87292i −0.416209 + 0.194622i
\(397\) 3.27587 + 5.67397i 0.164411 + 0.284768i 0.936446 0.350812i \(-0.114094\pi\)
−0.772035 + 0.635580i \(0.780761\pi\)
\(398\) 6.66875 0.334274
\(399\) 30.2102 + 18.0782i 1.51240 + 0.905041i
\(400\) −1.00000 −0.0500000
\(401\) −12.4043 21.4849i −0.619442 1.07290i −0.989588 0.143931i \(-0.954026\pi\)
0.370146 0.928974i \(-0.379308\pi\)
\(402\) 4.54685 2.37002i 0.226776 0.118206i
\(403\) −8.85230 + 15.3326i −0.440964 + 0.763773i
\(404\) −9.90594 + 5.71920i −0.492839 + 0.284541i
\(405\) 6.90671 + 5.77038i 0.343197 + 0.286733i
\(406\) −9.25364 −0.459250
\(407\) 13.7067 0.679417
\(408\) 3.76038 + 2.39281i 0.186167 + 0.118462i
\(409\) 2.94189 + 1.69850i 0.145467 + 0.0839854i 0.570967 0.820973i \(-0.306568\pi\)
−0.425500 + 0.904958i \(0.639902\pi\)
\(410\) 3.31382i 0.163658i
\(411\) 0.486254 11.2749i 0.0239851 0.556149i
\(412\) −15.1333 8.73722i −0.745565 0.430452i
\(413\) 28.0966 + 48.6648i 1.38255 + 2.39464i
\(414\) 1.66472 + 1.16301i 0.0818165 + 0.0571587i
\(415\) −1.30804 2.26559i −0.0642090 0.111213i
\(416\) 3.56832 2.06017i 0.174951 0.101008i
\(417\) 14.2277 + 0.613599i 0.696733 + 0.0300481i
\(418\) −6.32415 + 11.6829i −0.309324 + 0.571431i
\(419\) 25.4266i 1.24217i 0.783742 + 0.621086i \(0.213308\pi\)
−0.783742 + 0.621086i \(0.786692\pi\)
\(420\) −7.16227 + 3.73329i −0.349483 + 0.182166i
\(421\) 9.79175 5.65327i 0.477221 0.275523i −0.242037 0.970267i \(-0.577815\pi\)
0.719257 + 0.694744i \(0.244482\pi\)
\(422\) 21.3930 + 12.3513i 1.04140 + 0.601251i
\(423\) −23.8136 + 11.1354i −1.15786 + 0.541420i
\(424\) 4.57343 7.92141i 0.222105 0.384698i
\(425\) 2.57333i 0.124825i
\(426\) 21.6451 + 0.933493i 1.04871 + 0.0452279i
\(427\) 32.4132 56.1413i 1.56859 2.71687i
\(428\) −9.40551 + 16.2908i −0.454633 + 0.787447i
\(429\) 21.7304 + 0.937171i 1.04915 + 0.0452470i
\(430\) 5.73225i 0.276434i
\(431\) −0.210664 + 0.364881i −0.0101473 + 0.0175757i −0.871054 0.491186i \(-0.836563\pi\)
0.860907 + 0.508762i \(0.169897\pi\)
\(432\) 1.99615 + 4.79743i 0.0960399 + 0.230817i
\(433\) 4.84430 + 2.79686i 0.232802 + 0.134409i 0.611864 0.790963i \(-0.290420\pi\)
−0.379062 + 0.925371i \(0.623753\pi\)
\(434\) 17.3526 10.0185i 0.832952 0.480905i
\(435\) −3.04790 + 1.58870i −0.146135 + 0.0761723i
\(436\) 7.27464i 0.348392i
\(437\) 2.94948 0.0809752i 0.141093 0.00387357i
\(438\) −7.56469 0.326243i −0.361455 0.0155885i
\(439\) −33.0674 + 19.0915i −1.57822 + 0.911186i −0.583113 + 0.812391i \(0.698165\pi\)
−0.995108 + 0.0987947i \(0.968501\pi\)
\(440\) −1.52387 2.63942i −0.0726477 0.125829i
\(441\) −25.3338 + 36.2627i −1.20637 + 1.72679i
\(442\) −5.30149 9.18245i −0.252166 0.436765i
\(443\) −22.2103 12.8231i −1.05524 0.609246i −0.131132 0.991365i \(-0.541861\pi\)
−0.924113 + 0.382119i \(0.875194\pi\)
\(444\) 0.335632 7.78239i 0.0159284 0.369336i
\(445\) 9.62524i 0.456280i
\(446\) −4.59604 2.65352i −0.217629 0.125648i
\(447\) −3.65014 2.32266i −0.172646 0.109858i
\(448\) −4.66317 −0.220314
\(449\) −23.6894 −1.11797 −0.558986 0.829177i \(-0.688809\pi\)
−0.558986 + 0.829177i \(0.688809\pi\)
\(450\) −1.71811 + 2.45929i −0.0809925 + 0.115932i
\(451\) 8.74656 5.04983i 0.411859 0.237787i
\(452\) −6.39589 + 11.0780i −0.300837 + 0.521066i
\(453\) −14.3822 + 7.49665i −0.675735 + 0.352223i
\(454\) 2.58505 + 4.47744i 0.121322 + 0.210137i
\(455\) 19.2139 0.900760
\(456\) 6.47846 + 3.87680i 0.303382 + 0.181548i
\(457\) −17.2801 −0.808330 −0.404165 0.914686i \(-0.632438\pi\)
−0.404165 + 0.914686i \(0.632438\pi\)
\(458\) −6.28356 10.8835i −0.293612 0.508550i
\(459\) 12.3454 5.13675i 0.576232 0.239763i
\(460\) −0.338456 + 0.586222i −0.0157806 + 0.0273328i
\(461\) 27.4943 15.8738i 1.28053 0.739317i 0.303589 0.952803i \(-0.401815\pi\)
0.976946 + 0.213486i \(0.0684818\pi\)
\(462\) −20.7681 13.2152i −0.966219 0.614826i
\(463\) −24.4190 −1.13485 −0.567423 0.823426i \(-0.692060\pi\)
−0.567423 + 0.823426i \(0.692060\pi\)
\(464\) −1.98441 −0.0921238
\(465\) 3.99546 6.27899i 0.185285 0.291181i
\(466\) 20.8093 + 12.0142i 0.963972 + 0.556549i
\(467\) 13.4425i 0.622047i 0.950402 + 0.311023i \(0.100672\pi\)
−0.950402 + 0.311023i \(0.899328\pi\)
\(468\) 1.06421 12.3151i 0.0491932 0.569267i
\(469\) 11.9551 + 6.90229i 0.552036 + 0.318718i
\(470\) −4.38141 7.58882i −0.202099 0.350046i
\(471\) −14.3452 + 22.5439i −0.660991 + 1.03877i
\(472\) 6.02522 + 10.4360i 0.277333 + 0.480355i
\(473\) 15.1298 8.73521i 0.695670 0.401645i
\(474\) −0.581282 + 13.4783i −0.0266992 + 0.619081i
\(475\) 0.119625 + 4.35726i 0.00548875 + 0.199925i
\(476\) 11.9999i 0.550013i
\(477\) −11.6234 24.8572i −0.532198 1.13813i
\(478\) −11.1883 + 6.45956i −0.511740 + 0.295453i
\(479\) 8.44584 + 4.87621i 0.385900 + 0.222800i 0.680382 0.732857i \(-0.261814\pi\)
−0.294482 + 0.955657i \(0.595147\pi\)
\(480\) −1.53592 + 0.800591i −0.0701049 + 0.0365418i
\(481\) −9.26529 + 16.0480i −0.422461 + 0.731724i
\(482\) 21.2014i 0.965697i
\(483\) −0.235571 + 5.46224i −0.0107188 + 0.248540i
\(484\) −0.855640 + 1.48201i −0.0388927 + 0.0673642i
\(485\) 4.62080 8.00346i 0.209820 0.363418i
\(486\) 15.2279 + 3.33340i 0.690751 + 0.151206i
\(487\) 16.0127i 0.725606i 0.931866 + 0.362803i \(0.118180\pi\)
−0.931866 + 0.362803i \(0.881820\pi\)
\(488\) 6.95089 12.0393i 0.314652 0.544994i
\(489\) 6.35962 + 12.2008i 0.287592 + 0.551741i
\(490\) −12.7697 7.37259i −0.576876 0.333060i
\(491\) −18.5831 + 10.7290i −0.838645 + 0.484192i −0.856803 0.515643i \(-0.827553\pi\)
0.0181585 + 0.999835i \(0.494220\pi\)
\(492\) −2.65301 5.08976i −0.119607 0.229464i
\(493\) 5.10653i 0.229986i
\(494\) −9.40355 15.3016i −0.423086 0.688454i
\(495\) −9.10927 0.787178i −0.409431 0.0353810i
\(496\) 3.72120 2.14844i 0.167087 0.0964677i
\(497\) 29.1645 + 50.5144i 1.30821 + 2.26588i
\(498\) −3.82285 2.43256i −0.171306 0.109006i
\(499\) 9.93532 + 17.2085i 0.444766 + 0.770358i 0.998036 0.0626445i \(-0.0199534\pi\)
−0.553270 + 0.833002i \(0.686620\pi\)
\(500\) −0.866025 0.500000i −0.0387298 0.0223607i
\(501\) 10.3104 + 0.444659i 0.460636 + 0.0198659i
\(502\) 18.8192i 0.839941i
\(503\) 25.5440 + 14.7478i 1.13895 + 0.657574i 0.946171 0.323668i \(-0.104916\pi\)
0.192780 + 0.981242i \(0.438250\pi\)
\(504\) −8.01184 + 11.4681i −0.356876 + 0.510829i
\(505\) −11.4384 −0.509002
\(506\) −2.06305 −0.0917137
\(507\) −3.69822 + 5.81188i −0.164244 + 0.258115i
\(508\) 17.7898 10.2710i 0.789296 0.455700i
\(509\) −7.10434 + 12.3051i −0.314894 + 0.545413i −0.979415 0.201857i \(-0.935302\pi\)
0.664521 + 0.747270i \(0.268636\pi\)
\(510\) 2.06018 + 3.95243i 0.0912263 + 0.175016i
\(511\) −10.1926 17.6541i −0.450894 0.780972i
\(512\) −1.00000 −0.0441942
\(513\) 20.6649 9.27164i 0.912376 0.409353i
\(514\) −8.00897 −0.353261
\(515\) −8.73722 15.1333i −0.385008 0.666854i
\(516\) −4.58919 8.80429i −0.202028 0.387587i
\(517\) 13.3534 23.1288i 0.587281 1.01720i
\(518\) 18.1622 10.4859i 0.798000 0.460726i
\(519\) −7.48420 + 11.7617i −0.328520 + 0.516280i
\(520\) 4.12034 0.180689
\(521\) −6.13334 −0.268707 −0.134353 0.990934i \(-0.542896\pi\)
−0.134353 + 0.990934i \(0.542896\pi\)
\(522\) −3.40943 + 4.88023i −0.149227 + 0.213602i
\(523\) 3.86418 + 2.23098i 0.168969 + 0.0975541i 0.582099 0.813118i \(-0.302231\pi\)
−0.413131 + 0.910672i \(0.635565\pi\)
\(524\) 3.79541i 0.165803i
\(525\) −8.06935 0.348008i −0.352175 0.0151883i
\(526\) −24.6525 14.2331i −1.07490 0.620594i
\(527\) −5.52863 9.57587i −0.240831 0.417131i
\(528\) −4.45364 2.83395i −0.193820 0.123332i
\(529\) −11.2709 19.5218i −0.490039 0.848772i
\(530\) 7.92141 4.57343i 0.344084 0.198657i
\(531\) 36.0171 + 3.11242i 1.56301 + 0.135067i
\(532\) 0.557830 + 20.3186i 0.0241850 + 0.880925i
\(533\) 13.6541i 0.591423i
\(534\) 7.70588 + 14.7836i 0.333466 + 0.639750i
\(535\) −16.2908 + 9.40551i −0.704314 + 0.406636i
\(536\) 2.56373 + 1.48017i 0.110736 + 0.0639336i
\(537\) −7.62753 14.6333i −0.329152 0.631474i
\(538\) 2.93694 5.08693i 0.126620 0.219313i
\(539\) 44.9395i 1.93568i
\(540\) −0.669999 + 5.15278i −0.0288321 + 0.221740i
\(541\) 0.177929 0.308182i 0.00764975 0.0132498i −0.862175 0.506610i \(-0.830898\pi\)
0.869825 + 0.493360i \(0.164232\pi\)
\(542\) 6.85354 11.8707i 0.294385 0.509889i
\(543\) 1.28667 29.8344i 0.0552164 1.28032i
\(544\) 2.57333i 0.110330i
\(545\) 3.63732 6.30002i 0.155806 0.269863i
\(546\) 29.5110 15.3824i 1.26295 0.658308i
\(547\) 29.5616 + 17.0674i 1.26396 + 0.729750i 0.973839 0.227239i \(-0.0729700\pi\)
0.290124 + 0.956989i \(0.406303\pi\)
\(548\) 5.64269 3.25781i 0.241044 0.139167i
\(549\) −17.6657 37.7791i −0.753954 1.61237i
\(550\) 3.04774i 0.129956i
\(551\) 0.237384 + 8.64658i 0.0101129 + 0.368357i
\(552\) −0.0505172 + 1.17136i −0.00215016 + 0.0498562i
\(553\) −31.4551 + 18.1606i −1.33761 + 0.772268i
\(554\) 7.59771 + 13.1596i 0.322796 + 0.559098i
\(555\) 4.18186 6.57193i 0.177510 0.278963i
\(556\) 4.11100 + 7.12045i 0.174345 + 0.301974i
\(557\) 22.5889 + 13.0417i 0.957124 + 0.552596i 0.895287 0.445490i \(-0.146971\pi\)
0.0618376 + 0.998086i \(0.480304\pi\)
\(558\) 1.10981 12.8428i 0.0469819 0.543677i
\(559\) 23.6188i 0.998970i
\(560\) −4.03843 2.33159i −0.170655 0.0985275i
\(561\) −7.29267 + 11.4607i −0.307897 + 0.483870i
\(562\) −8.55213 −0.360750
\(563\) 17.0740 0.719585 0.359792 0.933032i \(-0.382847\pi\)
0.359792 + 0.933032i \(0.382847\pi\)
\(564\) −12.8050 8.14812i −0.539189 0.343098i
\(565\) −11.0780 + 6.39589i −0.466055 + 0.269077i
\(566\) 14.1879 24.5741i 0.596361 1.03293i
\(567\) 14.4381 + 39.4069i 0.606344 + 1.65493i
\(568\) 6.25422 + 10.8326i 0.262421 + 0.454527i
\(569\) 15.0406 0.630534 0.315267 0.949003i \(-0.397906\pi\)
0.315267 + 0.949003i \(0.397906\pi\)
\(570\) 3.67211 + 6.59663i 0.153808 + 0.276303i
\(571\) 39.0424 1.63388 0.816938 0.576726i \(-0.195670\pi\)
0.816938 + 0.576726i \(0.195670\pi\)
\(572\) 6.27887 + 10.8753i 0.262533 + 0.454720i
\(573\) −22.9735 + 11.9748i −0.959731 + 0.500255i
\(574\) 7.72645 13.3826i 0.322496 0.558579i
\(575\) −0.586222 + 0.338456i −0.0244472 + 0.0141146i
\(576\) −1.71811 + 2.45929i −0.0715879 + 0.102470i
\(577\) 23.9982 0.999059 0.499529 0.866297i \(-0.333506\pi\)
0.499529 + 0.866297i \(0.333506\pi\)
\(578\) −10.3780 −0.431668
\(579\) 30.5341 + 19.4295i 1.26895 + 0.807463i
\(580\) −1.71855 0.992204i −0.0713588 0.0411990i
\(581\) 12.1992i 0.506108i
\(582\) 0.689691 15.9921i 0.0285886 0.662892i
\(583\) 24.1424 + 13.9386i 0.999876 + 0.577279i
\(584\) −2.18577 3.78586i −0.0904477 0.156660i
\(585\) 7.07920 10.1331i 0.292689 0.418952i
\(586\) 3.61154 + 6.25538i 0.149191 + 0.258407i
\(587\) −28.1004 + 16.2238i −1.15983 + 0.669626i −0.951262 0.308382i \(-0.900212\pi\)
−0.208564 + 0.978009i \(0.566879\pi\)
\(588\) −25.5157 1.10042i −1.05225 0.0453805i
\(589\) −9.80644 15.9572i −0.404067 0.657506i
\(590\) 12.0504i 0.496109i
\(591\) 34.7949 18.1367i 1.43127 0.746042i
\(592\) 3.89481 2.24867i 0.160076 0.0924198i
\(593\) −15.6411 9.03038i −0.642302 0.370833i 0.143199 0.989694i \(-0.454261\pi\)
−0.785501 + 0.618861i \(0.787594\pi\)
\(594\) −14.6213 + 6.08375i −0.599921 + 0.249619i
\(595\) −5.99993 + 10.3922i −0.245973 + 0.426038i
\(596\) 2.49788i 0.102317i
\(597\) 11.5399 + 0.497682i 0.472296 + 0.0203688i
\(598\) 1.39455 2.41544i 0.0570275 0.0987745i
\(599\) 20.2381 35.0535i 0.826907 1.43225i −0.0735458 0.997292i \(-0.523432\pi\)
0.900453 0.434953i \(-0.143235\pi\)
\(600\) −1.73044 0.0746290i −0.0706450 0.00304672i
\(601\) 20.2964i 0.827907i 0.910298 + 0.413953i \(0.135852\pi\)
−0.910298 + 0.413953i \(0.864148\pi\)
\(602\) 13.3652 23.1493i 0.544727 0.943494i
\(603\) 8.04494 3.76186i 0.327615 0.153195i
\(604\) −8.10937 4.68195i −0.329966 0.190506i
\(605\) −1.48201 + 0.855640i −0.0602524 + 0.0347867i
\(606\) −17.5685 + 9.15747i −0.713671 + 0.371997i
\(607\) 9.59148i 0.389306i 0.980872 + 0.194653i \(0.0623581\pi\)
−0.980872 + 0.194653i \(0.937642\pi\)
\(608\) 0.119625 + 4.35726i 0.00485141 + 0.176710i
\(609\) −16.0129 0.690590i −0.648875 0.0279841i
\(610\) 12.0393 6.95089i 0.487457 0.281433i
\(611\) 18.0529 + 31.2685i 0.730342 + 1.26499i
\(612\) 6.32855 + 4.42125i 0.255816 + 0.178719i
\(613\) −9.78722 16.9520i −0.395302 0.684683i 0.597838 0.801617i \(-0.296027\pi\)
−0.993140 + 0.116934i \(0.962693\pi\)
\(614\) 0.356034 + 0.205556i 0.0143684 + 0.00829558i
\(615\) 0.247307 5.73437i 0.00997238 0.231232i
\(616\) 14.2121i 0.572623i
\(617\) −15.9625 9.21594i −0.642625 0.371020i 0.143000 0.989723i \(-0.454325\pi\)
−0.785625 + 0.618703i \(0.787659\pi\)
\(618\) −25.5353 16.2486i −1.02718 0.653616i
\(619\) −24.8517 −0.998874 −0.499437 0.866350i \(-0.666460\pi\)
−0.499437 + 0.866350i \(0.666460\pi\)
\(620\) 4.29688 0.172567
\(621\) 2.79391 + 2.13675i 0.112116 + 0.0857450i
\(622\) 9.06212 5.23202i 0.363358 0.209785i
\(623\) −22.4421 + 38.8708i −0.899123 + 1.55733i
\(624\) 6.32852 3.29871i 0.253344 0.132054i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −1.74421 −0.0697126
\(627\) −11.8155 + 19.7447i −0.471864 + 0.788526i
\(628\) −15.4274 −0.615620
\(629\) −5.78656 10.0226i −0.230725 0.399628i
\(630\) −12.6725 + 5.92573i −0.504885 + 0.236087i
\(631\) −1.80191 + 3.12099i −0.0717327 + 0.124245i −0.899661 0.436590i \(-0.856186\pi\)
0.827928 + 0.560834i \(0.189520\pi\)
\(632\) −6.74543 + 3.89448i −0.268319 + 0.154914i
\(633\) 36.0976 + 22.9697i 1.43475 + 0.912964i
\(634\) −20.4047 −0.810373
\(635\) 20.5419 0.815182
\(636\) 8.50522 13.3662i 0.337254 0.530006i
\(637\) 52.6155 + 30.3776i 2.08470 + 1.20360i
\(638\) 6.04796i 0.239441i
\(639\) 37.3860 + 3.23071i 1.47897 + 0.127805i
\(640\) −0.866025 0.500000i −0.0342327 0.0197642i
\(641\) −3.94155 6.82697i −0.155682 0.269649i 0.777625 0.628728i \(-0.216424\pi\)
−0.933307 + 0.359079i \(0.883091\pi\)
\(642\) −17.4915 + 27.4884i −0.690333 + 1.08488i
\(643\) −2.98629 5.17241i −0.117768 0.203980i 0.801115 0.598510i \(-0.204241\pi\)
−0.918883 + 0.394531i \(0.870907\pi\)
\(644\) −2.73366 + 1.57828i −0.107721 + 0.0621928i
\(645\) 0.427792 9.91933i 0.0168443 0.390573i
\(646\) 11.2126 0.307833i 0.441155 0.0121115i
\(647\) 27.9832i 1.10013i 0.835120 + 0.550067i \(0.185398\pi\)
−0.835120 + 0.550067i \(0.814602\pi\)
\(648\) 3.09620 + 8.45065i 0.121630 + 0.331973i
\(649\) −31.8062 + 18.3633i −1.24850 + 0.720823i
\(650\) 3.56832 + 2.06017i 0.139961 + 0.0808066i
\(651\) 30.7754 16.0415i 1.20618 0.628716i
\(652\) −3.97183 + 6.87941i −0.155549 + 0.269419i
\(653\) 20.3397i 0.795953i 0.917396 + 0.397976i \(0.130287\pi\)
−0.917396 + 0.397976i \(0.869713\pi\)
\(654\) 0.542899 12.5883i 0.0212290 0.492243i
\(655\) 1.89770 3.28692i 0.0741494 0.128431i
\(656\) 1.65691 2.86985i 0.0646914 0.112049i
\(657\) −13.0659 1.12909i −0.509750 0.0440500i
\(658\) 40.8625i 1.59299i
\(659\) 12.9141 22.3678i 0.503061 0.871327i −0.496933 0.867789i \(-0.665540\pi\)
0.999994 0.00353811i \(-0.00112622\pi\)
\(660\) −2.43999 4.68109i −0.0949766 0.182211i
\(661\) 24.4404 + 14.1107i 0.950623 + 0.548842i 0.893274 0.449512i \(-0.148402\pi\)
0.0573484 + 0.998354i \(0.481735\pi\)
\(662\) −2.98913 + 1.72578i −0.116176 + 0.0670742i
\(663\) −8.48864 16.2853i −0.329672 0.632470i
\(664\) 2.61607i 0.101523i
\(665\) −9.67623 + 17.8754i −0.375228 + 0.693177i
\(666\) 1.16158 13.4419i 0.0450105 0.520864i
\(667\) −1.16330 + 0.671634i −0.0450433 + 0.0260058i
\(668\) 2.97913 + 5.16001i 0.115266 + 0.199647i
\(669\) −7.75515 4.93477i −0.299831 0.190789i
\(670\) 1.48017 + 2.56373i 0.0571840 + 0.0990456i
\(671\) 36.6927 + 21.1845i 1.41650 + 0.817819i
\(672\) −8.06935 0.348008i −0.311282 0.0134247i
\(673\) 3.94270i 0.151980i −0.997109 0.0759900i \(-0.975788\pi\)
0.997109 0.0759900i \(-0.0242117\pi\)
\(674\) −23.1281 13.3530i −0.890860 0.514338i
\(675\) −3.15662 + 4.12744i −0.121499 + 0.158865i
\(676\) −3.97722 −0.152970
\(677\) 45.0353 1.73085 0.865424 0.501040i \(-0.167049\pi\)
0.865424 + 0.501040i \(0.167049\pi\)
\(678\) −11.8945 + 18.6925i −0.456804 + 0.717883i
\(679\) 37.3215 21.5476i 1.43227 0.826920i
\(680\) −1.28666 + 2.22857i −0.0493413 + 0.0854616i
\(681\) 4.13913 + 7.94087i 0.158612 + 0.304295i
\(682\) 6.54788 + 11.3413i 0.250731 + 0.434279i
\(683\) −36.9898 −1.41538 −0.707688 0.706525i \(-0.750262\pi\)
−0.707688 + 0.706525i \(0.750262\pi\)
\(684\) 10.9213 + 7.19205i 0.417586 + 0.274995i
\(685\) 6.51561 0.248949
\(686\) −18.0586 31.2784i −0.689479 1.19421i
\(687\) −10.0611 19.3021i −0.383856 0.736422i
\(688\) 2.86613 4.96428i 0.109270 0.189261i
\(689\) −32.6389 + 18.8441i −1.24344 + 0.717903i
\(690\) −0.629427 + 0.989165i −0.0239619 + 0.0376569i
\(691\) 40.1246 1.52641 0.763206 0.646155i \(-0.223624\pi\)
0.763206 + 0.646155i \(0.223624\pi\)
\(692\) −8.04881 −0.305970
\(693\) −34.9517 24.4180i −1.32771 0.927564i
\(694\) −14.4663 8.35210i −0.549132 0.317041i
\(695\) 8.22199i 0.311878i
\(696\) −3.43390 0.148094i −0.130162 0.00561351i
\(697\) −7.38506 4.26376i −0.279729 0.161502i
\(698\) 16.1384 + 27.9525i 0.610847 + 1.05802i
\(699\) 35.1127 + 22.3429i 1.32808 + 0.845087i
\(700\) −2.33159 4.03843i −0.0881257 0.152638i
\(701\) −35.9481 + 20.7546i −1.35774 + 0.783892i −0.989319 0.145766i \(-0.953435\pi\)
−0.368422 + 0.929659i \(0.620102\pi\)
\(702\) 2.76062 21.2312i 0.104193 0.801320i
\(703\) −10.2639 16.7017i −0.387112 0.629916i
\(704\) 3.04774i 0.114866i
\(705\) −7.01543 13.4590i −0.264216 0.506895i
\(706\) 13.2366 7.64215i 0.498166 0.287616i
\(707\) −46.1931 26.6696i −1.73727 1.00301i
\(708\) 9.64747 + 18.5085i 0.362574 + 0.695593i
\(709\) −6.05340 + 10.4848i −0.227340 + 0.393765i −0.957019 0.290025i \(-0.906336\pi\)
0.729679 + 0.683790i \(0.239670\pi\)
\(710\) 12.5084i 0.469433i
\(711\) −2.01175 + 23.2801i −0.0754465 + 0.873072i
\(712\) −4.81262 + 8.33571i −0.180361 + 0.312394i
\(713\) 1.45430 2.51892i 0.0544640 0.0943345i
\(714\) −0.895538 + 20.7651i −0.0335147 + 0.777113i
\(715\) 12.5577i 0.469633i
\(716\) 4.76369 8.25095i 0.178027 0.308352i
\(717\) −19.8428 + 10.3429i −0.741041 + 0.386264i
\(718\) −0.917556 0.529751i −0.0342429 0.0197701i
\(719\) 43.2306 24.9592i 1.61223 0.930821i 0.623376 0.781922i \(-0.285760\pi\)
0.988852 0.148899i \(-0.0475729\pi\)
\(720\) −2.71757 + 1.27075i −0.101278 + 0.0473581i
\(721\) 81.4864i 3.03471i
\(722\) 18.9714 1.04247i 0.706042 0.0387967i
\(723\) −1.58224 + 36.6878i −0.0588441 + 1.36443i
\(724\) 14.9311 8.62045i 0.554909 0.320377i
\(725\) −0.992204 1.71855i −0.0368495 0.0638253i
\(726\) −1.59124 + 2.50068i −0.0590564 + 0.0928090i
\(727\) 3.21384 + 5.56653i 0.119195 + 0.206451i 0.919449 0.393210i \(-0.128635\pi\)
−0.800254 + 0.599661i \(0.795302\pi\)
\(728\) 16.6397 + 9.60693i 0.616708 + 0.356057i
\(729\) 26.1022 + 6.90471i 0.966748 + 0.255730i
\(730\) 4.37153i 0.161798i
\(731\) −12.7747 7.37547i −0.472489 0.272792i
\(732\) 12.9266 20.3146i 0.477781 0.750848i
\(733\) −16.0152 −0.591537 −0.295768 0.955260i \(-0.595576\pi\)
−0.295768 + 0.955260i \(0.595576\pi\)
\(734\) 20.5013 0.756718
\(735\) −21.5470 13.7108i −0.794774 0.505732i
\(736\) −0.586222 + 0.338456i −0.0216084 + 0.0124756i
\(737\) −4.51118 + 7.81359i −0.166171 + 0.287817i
\(738\) −4.21104 9.00553i −0.155010 0.331498i
\(739\) −9.73673 16.8645i −0.358172 0.620371i 0.629484 0.777014i \(-0.283266\pi\)
−0.987655 + 0.156642i \(0.949933\pi\)
\(740\) 4.49734 0.165325
\(741\) −15.1304 27.1804i −0.555828 0.998497i
\(742\) 42.6534 1.56586
\(743\) −25.7244 44.5560i −0.943738 1.63460i −0.758258 0.651955i \(-0.773949\pi\)
−0.185480 0.982648i \(-0.559384\pi\)
\(744\) 6.59966 3.44004i 0.241955 0.126118i
\(745\) 1.24894 2.16323i 0.0457577 0.0792546i
\(746\) −12.8277 + 7.40608i −0.469656 + 0.271156i
\(747\) −6.43368 4.49470i −0.235396 0.164453i
\(748\) −7.84283 −0.286762
\(749\) −87.7191 −3.20518
\(750\) −1.46129 0.929852i −0.0533589 0.0339534i
\(751\) 29.8285 + 17.2215i 1.08846 + 0.628421i 0.933165 0.359448i \(-0.117035\pi\)
0.155292 + 0.987869i \(0.450368\pi\)
\(752\) 8.76281i 0.319547i
\(753\) 1.40446 32.5655i 0.0511812 1.18675i
\(754\) 7.08101 + 4.08822i 0.257875 + 0.148884i
\(755\) −4.68195 8.10937i −0.170394 0.295130i
\(756\) −14.7199 + 19.2469i −0.535357 + 0.700005i
\(757\) −5.05555 8.75646i −0.183747 0.318259i 0.759407 0.650616i \(-0.225489\pi\)
−0.943154 + 0.332357i \(0.892156\pi\)
\(758\) 3.66524 2.11613i 0.133128 0.0768613i
\(759\) −3.56999 0.153963i −0.129582 0.00558852i
\(760\) −2.07503 + 3.83331i −0.0752693 + 0.139049i
\(761\) 27.1963i 0.985865i 0.870067 + 0.492933i \(0.164075\pi\)
−0.870067 + 0.492933i \(0.835925\pi\)
\(762\) 31.5508 16.4457i 1.14296 0.595764i
\(763\) 29.3781 16.9614i 1.06356 0.614045i
\(764\) −12.9535 7.47873i −0.468643 0.270571i
\(765\) 3.27006 + 6.99319i 0.118229 + 0.252839i
\(766\) −11.7377 + 20.3303i −0.424100 + 0.734563i
\(767\) 49.6519i 1.79283i
\(768\) −1.73044 0.0746290i −0.0624420 0.00269294i
\(769\) −8.24048 + 14.2729i −0.297159 + 0.514695i −0.975485 0.220067i \(-0.929373\pi\)
0.678326 + 0.734761i \(0.262706\pi\)
\(770\) 7.10607 12.3081i 0.256085 0.443552i
\(771\) −13.8591 0.597702i −0.499122 0.0215257i
\(772\) 20.8953i 0.752037i
\(773\) −1.86208 + 3.22522i −0.0669743 + 0.116003i −0.897568 0.440876i \(-0.854668\pi\)
0.830594 + 0.556879i \(0.188001\pi\)
\(774\) −7.28427 15.5778i −0.261828 0.559932i
\(775\) 3.72120 + 2.14844i 0.133670 + 0.0771742i