Properties

Label 144.3.w.a.5.19
Level $144$
Weight $3$
Character 144.5
Analytic conductor $3.924$
Analytic rank $0$
Dimension $184$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 144.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.92371580679\)
Analytic rank: \(0\)
Dimension: \(184\)
Relative dimension: \(46\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 5.19
Character \(\chi\) \(=\) 144.5
Dual form 144.3.w.a.29.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.702398 + 1.87260i) q^{2} +(1.41045 + 2.64776i) q^{3} +(-3.01327 - 2.63062i) q^{4} +(-0.226081 - 0.843746i) q^{5} +(-5.94890 + 0.781440i) q^{6} +(-7.54519 + 4.35622i) q^{7} +(7.04263 - 3.79492i) q^{8} +(-5.02124 + 7.46908i) q^{9} +O(q^{10})\) \(q+(-0.702398 + 1.87260i) q^{2} +(1.41045 + 2.64776i) q^{3} +(-3.01327 - 2.63062i) q^{4} +(-0.226081 - 0.843746i) q^{5} +(-5.94890 + 0.781440i) q^{6} +(-7.54519 + 4.35622i) q^{7} +(7.04263 - 3.79492i) q^{8} +(-5.02124 + 7.46908i) q^{9} +(1.73880 + 0.169286i) q^{10} +(-19.0671 - 5.10901i) q^{11} +(2.71517 - 11.6888i) q^{12} +(4.46433 + 16.6611i) q^{13} +(-2.85773 - 17.1889i) q^{14} +(1.91516 - 1.78867i) q^{15} +(2.15964 + 15.8536i) q^{16} +5.34982i q^{17} +(-10.4597 - 14.6490i) q^{18} +(14.3774 - 14.3774i) q^{19} +(-1.53833 + 3.13717i) q^{20} +(-22.1763 - 13.8336i) q^{21} +(22.9598 - 32.1165i) q^{22} +(4.79666 - 8.30806i) q^{23} +(19.9813 + 13.2946i) q^{24} +(20.9898 - 12.1185i) q^{25} +(-34.3354 - 3.34282i) q^{26} +(-26.8585 - 2.76021i) q^{27} +(34.1953 + 6.72208i) q^{28} +(-6.61082 + 24.6719i) q^{29} +(2.00427 + 4.84269i) q^{30} +(-27.1557 + 47.0351i) q^{31} +(-31.2044 - 7.09138i) q^{32} +(-13.3658 - 57.6911i) q^{33} +(-10.0181 - 3.75770i) q^{34} +(5.38136 + 5.38136i) q^{35} +(34.7787 - 9.29741i) q^{36} +(38.6246 + 38.6246i) q^{37} +(16.8245 + 37.0218i) q^{38} +(-37.8178 + 35.3202i) q^{39} +(-4.79415 - 5.08423i) q^{40} +(10.1568 - 17.5921i) q^{41} +(41.4814 - 31.8108i) q^{42} +(-7.60062 + 28.3659i) q^{43} +(44.0145 + 65.5532i) q^{44} +(7.43721 + 2.54803i) q^{45} +(12.1885 + 14.8178i) q^{46} +(32.8968 - 18.9929i) q^{47} +(-38.9304 + 28.0789i) q^{48} +(13.4532 - 23.3017i) q^{49} +(7.94988 + 47.8176i) q^{50} +(-14.1650 + 7.54568i) q^{51} +(30.3769 - 61.9484i) q^{52} +(-11.0931 + 11.0931i) q^{53} +(24.0342 - 48.3566i) q^{54} +17.2428i q^{55} +(-36.6065 + 59.3126i) q^{56} +(58.3465 + 17.7892i) q^{57} +(-41.5572 - 29.7089i) q^{58} +(4.88246 + 18.2216i) q^{59} +(-10.4762 + 0.351703i) q^{60} +(20.1439 + 5.39753i) q^{61} +(-69.0038 - 83.8892i) q^{62} +(5.34923 - 78.2292i) q^{63} +(35.1972 - 53.4524i) q^{64} +(13.0484 - 7.53352i) q^{65} +(117.421 + 15.4932i) q^{66} +(26.6773 + 99.5610i) q^{67} +(14.0734 - 16.1205i) q^{68} +(28.7632 + 0.982251i) q^{69} +(-13.8570 + 6.29729i) q^{70} -89.4379 q^{71} +(-7.01816 + 71.6571i) q^{72} -46.0108i q^{73} +(-99.4584 + 45.1987i) q^{74} +(61.6920 + 38.4834i) q^{75} +(-81.1445 + 5.50151i) q^{76} +(166.121 - 44.5119i) q^{77} +(-39.5775 - 95.6266i) q^{78} +(3.15641 + 5.46705i) q^{79} +(12.8881 - 5.40638i) q^{80} +(-30.5744 - 75.0080i) q^{81} +(25.8089 + 31.3764i) q^{82} +(5.63889 - 21.0446i) q^{83} +(30.4325 + 100.022i) q^{84} +(4.51389 - 1.20949i) q^{85} +(-47.7793 - 34.1571i) q^{86} +(-74.6495 + 17.2948i) q^{87} +(-153.671 + 36.3772i) q^{88} -68.9602 q^{89} +(-9.99533 + 12.1372i) q^{90} +(-106.264 - 106.264i) q^{91} +(-36.3090 + 12.4162i) q^{92} +(-162.839 - 5.56090i) q^{93} +(12.4596 + 74.9431i) q^{94} +(-15.3813 - 8.88040i) q^{95} +(-25.2361 - 92.6236i) q^{96} +(-51.0238 - 88.3757i) q^{97} +(34.1853 + 41.5596i) q^{98} +(133.900 - 116.760i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} + O(q^{10}) \) \( 184q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} - 10q^{6} - 8q^{10} - 6q^{11} - 64q^{12} - 2q^{13} - 6q^{14} - 8q^{15} - 2q^{16} + 54q^{18} - 8q^{19} + 120q^{20} - 22q^{21} - 2q^{22} - 160q^{24} + 44q^{27} - 72q^{28} - 6q^{29} - 90q^{30} - 4q^{31} - 6q^{32} - 8q^{33} + 6q^{34} - 202q^{36} - 8q^{37} - 6q^{38} - 2q^{40} + 44q^{42} - 2q^{43} + 46q^{45} - 160q^{46} - 12q^{47} - 118q^{48} + 472q^{49} + 228q^{50} - 48q^{51} - 2q^{52} + 206q^{54} - 300q^{56} - 92q^{58} - 438q^{59} - 90q^{60} - 2q^{61} - 204q^{63} + 244q^{64} - 12q^{65} - 508q^{66} - 2q^{67} - 144q^{68} + 14q^{69} + 96q^{70} + 6q^{72} + 246q^{74} + 152q^{75} - 158q^{76} - 6q^{77} + 304q^{78} - 4q^{79} - 8q^{81} - 388q^{82} - 726q^{83} + 542q^{84} + 48q^{85} + 894q^{86} + 22q^{88} - 528q^{90} - 204q^{91} - 348q^{92} + 62q^{93} - 18q^{94} - 12q^{95} + 262q^{96} - 4q^{97} + 286q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.702398 + 1.87260i −0.351199 + 0.936301i
\(3\) 1.41045 + 2.64776i 0.470152 + 0.882586i
\(4\) −3.01327 2.63062i −0.753318 0.657656i
\(5\) −0.226081 0.843746i −0.0452162 0.168749i 0.939626 0.342204i \(-0.111173\pi\)
−0.984842 + 0.173455i \(0.944507\pi\)
\(6\) −5.94890 + 0.781440i −0.991483 + 0.130240i
\(7\) −7.54519 + 4.35622i −1.07788 + 0.622317i −0.930325 0.366737i \(-0.880475\pi\)
−0.147559 + 0.989053i \(0.547142\pi\)
\(8\) 7.04263 3.79492i 0.880329 0.474365i
\(9\) −5.02124 + 7.46908i −0.557915 + 0.829898i
\(10\) 1.73880 + 0.169286i 0.173880 + 0.0169286i
\(11\) −19.0671 5.10901i −1.73337 0.464456i −0.752417 0.658687i \(-0.771112\pi\)
−0.980956 + 0.194231i \(0.937779\pi\)
\(12\) 2.71517 11.6888i 0.226264 0.974066i
\(13\) 4.46433 + 16.6611i 0.343410 + 1.28162i 0.894459 + 0.447151i \(0.147561\pi\)
−0.551049 + 0.834473i \(0.685772\pi\)
\(14\) −2.85773 17.1889i −0.204124 1.22778i
\(15\) 1.91516 1.78867i 0.127677 0.119245i
\(16\) 2.15964 + 15.8536i 0.134977 + 0.990849i
\(17\) 5.34982i 0.314695i 0.987543 + 0.157348i \(0.0502943\pi\)
−0.987543 + 0.157348i \(0.949706\pi\)
\(18\) −10.4597 14.6490i −0.581095 0.813836i
\(19\) 14.3774 14.3774i 0.756704 0.756704i −0.219017 0.975721i \(-0.570285\pi\)
0.975721 + 0.219017i \(0.0702850\pi\)
\(20\) −1.53833 + 3.13717i −0.0769167 + 0.156859i
\(21\) −22.1763 13.8336i −1.05602 0.658742i
\(22\) 22.9598 32.1165i 1.04363 1.45984i
\(23\) 4.79666 8.30806i 0.208550 0.361220i −0.742708 0.669616i \(-0.766459\pi\)
0.951258 + 0.308396i \(0.0997922\pi\)
\(24\) 19.9813 + 13.2946i 0.832555 + 0.553942i
\(25\) 20.9898 12.1185i 0.839594 0.484740i
\(26\) −34.3354 3.34282i −1.32059 0.128570i
\(27\) −26.8585 2.76021i −0.994761 0.102230i
\(28\) 34.1953 + 6.72208i 1.22126 + 0.240074i
\(29\) −6.61082 + 24.6719i −0.227959 + 0.850756i 0.753238 + 0.657748i \(0.228491\pi\)
−0.981197 + 0.193007i \(0.938176\pi\)
\(30\) 2.00427 + 4.84269i 0.0668090 + 0.161423i
\(31\) −27.1557 + 47.0351i −0.875991 + 1.51726i −0.0202867 + 0.999794i \(0.506458\pi\)
−0.855704 + 0.517466i \(0.826875\pi\)
\(32\) −31.2044 7.09138i −0.975136 0.221606i
\(33\) −13.3658 57.6911i −0.405026 1.74821i
\(34\) −10.0181 3.75770i −0.294650 0.110521i
\(35\) 5.38136 + 5.38136i 0.153753 + 0.153753i
\(36\) 34.7787 9.29741i 0.966075 0.258261i
\(37\) 38.6246 + 38.6246i 1.04391 + 1.04391i 0.998991 + 0.0449179i \(0.0143026\pi\)
0.0449179 + 0.998991i \(0.485697\pi\)
\(38\) 16.8245 + 37.0218i 0.442749 + 0.974257i
\(39\) −37.8178 + 35.3202i −0.969688 + 0.905646i
\(40\) −4.79415 5.08423i −0.119854 0.127106i
\(41\) 10.1568 17.5921i 0.247727 0.429077i −0.715167 0.698953i \(-0.753650\pi\)
0.962895 + 0.269877i \(0.0869829\pi\)
\(42\) 41.4814 31.8108i 0.987653 0.757400i
\(43\) −7.60062 + 28.3659i −0.176759 + 0.659672i 0.819487 + 0.573098i \(0.194259\pi\)
−0.996245 + 0.0865739i \(0.972408\pi\)
\(44\) 44.0145 + 65.5532i 1.00033 + 1.48985i
\(45\) 7.43721 + 2.54803i 0.165271 + 0.0566229i
\(46\) 12.1885 + 14.8178i 0.264968 + 0.322126i
\(47\) 32.8968 18.9929i 0.699931 0.404105i −0.107391 0.994217i \(-0.534250\pi\)
0.807322 + 0.590112i \(0.200916\pi\)
\(48\) −38.9304 + 28.0789i −0.811049 + 0.584978i
\(49\) 13.4532 23.3017i 0.274556 0.475545i
\(50\) 7.94988 + 47.8176i 0.158998 + 0.956352i
\(51\) −14.1650 + 7.54568i −0.277746 + 0.147955i
\(52\) 30.3769 61.9484i 0.584170 1.19132i
\(53\) −11.0931 + 11.0931i −0.209303 + 0.209303i −0.803971 0.594668i \(-0.797283\pi\)
0.594668 + 0.803971i \(0.297283\pi\)
\(54\) 24.0342 48.3566i 0.445077 0.895492i
\(55\) 17.2428i 0.313506i
\(56\) −36.6065 + 59.3126i −0.653687 + 1.05915i
\(57\) 58.3465 + 17.7892i 1.02362 + 0.312091i
\(58\) −41.5572 29.7089i −0.716504 0.512223i
\(59\) 4.88246 + 18.2216i 0.0827536 + 0.308841i 0.994879 0.101070i \(-0.0322266\pi\)
−0.912126 + 0.409911i \(0.865560\pi\)
\(60\) −10.4762 + 0.351703i −0.174604 + 0.00586172i
\(61\) 20.1439 + 5.39753i 0.330227 + 0.0884842i 0.420123 0.907467i \(-0.361987\pi\)
−0.0898960 + 0.995951i \(0.528653\pi\)
\(62\) −69.0038 83.8892i −1.11296 1.35305i
\(63\) 5.34923 78.2292i 0.0849084 1.24173i
\(64\) 35.1972 53.4524i 0.549957 0.835193i
\(65\) 13.0484 7.53352i 0.200745 0.115900i
\(66\) 117.421 + 15.4932i 1.77910 + 0.234745i
\(67\) 26.6773 + 99.5610i 0.398169 + 1.48599i 0.816316 + 0.577606i \(0.196013\pi\)
−0.418147 + 0.908379i \(0.637320\pi\)
\(68\) 14.0734 16.1205i 0.206961 0.237066i
\(69\) 28.7632 + 0.982251i 0.416858 + 0.0142355i
\(70\) −13.8570 + 6.29729i −0.197957 + 0.0899613i
\(71\) −89.4379 −1.25969 −0.629845 0.776721i \(-0.716881\pi\)
−0.629845 + 0.776721i \(0.716881\pi\)
\(72\) −7.01816 + 71.6571i −0.0974744 + 0.995238i
\(73\) 46.0108i 0.630285i −0.949044 0.315142i \(-0.897948\pi\)
0.949044 0.315142i \(-0.102052\pi\)
\(74\) −99.4584 + 45.1987i −1.34403 + 0.610793i
\(75\) 61.6920 + 38.4834i 0.822560 + 0.513112i
\(76\) −81.1445 + 5.50151i −1.06769 + 0.0723882i
\(77\) 166.121 44.5119i 2.15741 0.578077i
\(78\) −39.5775 95.6266i −0.507404 1.22598i
\(79\) 3.15641 + 5.46705i 0.0399545 + 0.0692032i 0.885311 0.464999i \(-0.153945\pi\)
−0.845357 + 0.534202i \(0.820612\pi\)
\(80\) 12.8881 5.40638i 0.161102 0.0675797i
\(81\) −30.5744 75.0080i −0.377461 0.926025i
\(82\) 25.8089 + 31.3764i 0.314743 + 0.382639i
\(83\) 5.63889 21.0446i 0.0679385 0.253550i −0.923601 0.383355i \(-0.874769\pi\)
0.991540 + 0.129805i \(0.0414352\pi\)
\(84\) 30.4325 + 100.022i 0.362291 + 1.19074i
\(85\) 4.51389 1.20949i 0.0531046 0.0142293i
\(86\) −47.7793 34.1571i −0.555574 0.397175i
\(87\) −74.6495 + 17.2948i −0.858040 + 0.198790i
\(88\) −153.671 + 36.3772i −1.74626 + 0.413377i
\(89\) −68.9602 −0.774834 −0.387417 0.921905i \(-0.626633\pi\)
−0.387417 + 0.921905i \(0.626633\pi\)
\(90\) −9.99533 + 12.1372i −0.111059 + 0.134858i
\(91\) −106.264 106.264i −1.16773 1.16773i
\(92\) −36.3090 + 12.4162i −0.394663 + 0.134959i
\(93\) −162.839 5.56090i −1.75096 0.0597946i
\(94\) 12.4596 + 74.9431i 0.132549 + 0.797267i
\(95\) −15.3813 8.88040i −0.161908 0.0934779i
\(96\) −25.2361 92.6236i −0.262876 0.964830i
\(97\) −51.0238 88.3757i −0.526018 0.911090i −0.999541 0.0303084i \(-0.990351\pi\)
0.473522 0.880782i \(-0.342982\pi\)
\(98\) 34.1853 + 41.5596i 0.348829 + 0.424078i
\(99\) 133.900 116.760i 1.35253 1.17940i
\(100\) −95.1273 18.7000i −0.951273 0.187000i
\(101\) 48.9718 + 13.1220i 0.484870 + 0.129920i 0.492969 0.870047i \(-0.335912\pi\)
−0.00809962 + 0.999967i \(0.502578\pi\)
\(102\) −4.18056 31.8255i −0.0409859 0.312015i
\(103\) −24.0189 13.8673i −0.233194 0.134634i 0.378851 0.925458i \(-0.376319\pi\)
−0.612044 + 0.790823i \(0.709653\pi\)
\(104\) 94.6681 + 100.396i 0.910270 + 0.965348i
\(105\) −6.65837 + 21.8387i −0.0634131 + 0.207988i
\(106\) −12.9811 28.5646i −0.122464 0.269477i
\(107\) 128.607 128.607i 1.20194 1.20194i 0.228360 0.973577i \(-0.426664\pi\)
0.973577 0.228360i \(-0.0733362\pi\)
\(108\) 73.6711 + 78.9720i 0.682139 + 0.731222i
\(109\) 23.5178 23.5178i 0.215759 0.215759i −0.590949 0.806709i \(-0.701247\pi\)
0.806709 + 0.590949i \(0.201247\pi\)
\(110\) −32.2890 12.1113i −0.293536 0.110103i
\(111\) −47.7903 + 156.747i −0.430544 + 1.41213i
\(112\) −85.3565 110.210i −0.762112 0.984021i
\(113\) 12.1264 + 7.00118i 0.107313 + 0.0619573i 0.552696 0.833383i \(-0.313599\pi\)
−0.445383 + 0.895340i \(0.646932\pi\)
\(114\) −74.2945 + 96.7646i −0.651706 + 0.848812i
\(115\) −8.09432 2.16887i −0.0703854 0.0188597i
\(116\) 84.8227 56.9526i 0.731230 0.490971i
\(117\) −146.860 50.3149i −1.25521 0.430042i
\(118\) −37.5512 3.65591i −0.318231 0.0309823i
\(119\) −23.3050 40.3654i −0.195840 0.339205i
\(120\) 6.69988 19.8648i 0.0558323 0.165540i
\(121\) 232.663 + 134.328i 1.92284 + 1.11015i
\(122\) −24.2564 + 33.9302i −0.198823 + 0.278117i
\(123\) 60.9055 + 2.07990i 0.495166 + 0.0169097i
\(124\) 205.559 70.2931i 1.65773 0.566880i
\(125\) −30.4119 30.4119i −0.243296 0.243296i
\(126\) 142.735 + 64.9650i 1.13282 + 0.515596i
\(127\) 0.611260 0.00481307 0.00240654 0.999997i \(-0.499234\pi\)
0.00240654 + 0.999997i \(0.499234\pi\)
\(128\) 75.3725 + 103.455i 0.588848 + 0.808244i
\(129\) −85.8263 + 19.8842i −0.665320 + 0.154141i
\(130\) 4.94208 + 29.7261i 0.0380160 + 0.228662i
\(131\) 85.3466 22.8685i 0.651501 0.174569i 0.0820934 0.996625i \(-0.473839\pi\)
0.569407 + 0.822056i \(0.307173\pi\)
\(132\) −111.489 + 209.000i −0.844610 + 1.58333i
\(133\) −45.8491 + 171.111i −0.344730 + 1.28655i
\(134\) −205.176 19.9755i −1.53117 0.149071i
\(135\) 3.74329 + 23.2858i 0.0277281 + 0.172487i
\(136\) 20.3021 + 37.6768i 0.149280 + 0.277035i
\(137\) −44.8139 77.6199i −0.327109 0.566569i 0.654828 0.755778i \(-0.272741\pi\)
−0.981937 + 0.189209i \(0.939408\pi\)
\(138\) −22.0426 + 53.1720i −0.159729 + 0.385305i
\(139\) 58.1535 15.5822i 0.418371 0.112102i −0.0434914 0.999054i \(-0.513848\pi\)
0.461862 + 0.886952i \(0.347181\pi\)
\(140\) −2.05918 30.3719i −0.0147084 0.216942i
\(141\) 96.6881 + 60.3139i 0.685731 + 0.427758i
\(142\) 62.8210 167.482i 0.442402 1.17945i
\(143\) 340.487i 2.38103i
\(144\) −129.256 63.4741i −0.897609 0.440792i
\(145\) 22.3114 0.153872
\(146\) 86.1598 + 32.3179i 0.590136 + 0.221355i
\(147\) 80.6724 + 2.75493i 0.548792 + 0.0187410i
\(148\) −14.7797 217.993i −0.0998629 1.47293i
\(149\) 52.6154 + 196.363i 0.353124 + 1.31788i 0.882829 + 0.469694i \(0.155636\pi\)
−0.529706 + 0.848182i \(0.677698\pi\)
\(150\) −115.396 + 88.4939i −0.769310 + 0.589959i
\(151\) −29.6364 + 17.1106i −0.196267 + 0.113315i −0.594913 0.803790i \(-0.702814\pi\)
0.398646 + 0.917105i \(0.369480\pi\)
\(152\) 46.6936 155.816i 0.307195 1.02510i
\(153\) −39.9583 26.8627i −0.261165 0.175573i
\(154\) −33.3298 + 342.343i −0.216427 + 2.22301i
\(155\) 45.8250 + 12.2788i 0.295645 + 0.0792179i
\(156\) 206.870 6.94494i 1.32609 0.0445188i
\(157\) −33.2153 123.961i −0.211562 0.789561i −0.987349 0.158565i \(-0.949313\pi\)
0.775786 0.630996i \(-0.217353\pi\)
\(158\) −12.4547 + 2.07064i −0.0788270 + 0.0131053i
\(159\) −45.0180 13.7255i −0.283132 0.0863237i
\(160\) 1.07139 + 27.9318i 0.00669618 + 0.174574i
\(161\) 83.5811i 0.519137i
\(162\) 161.936 4.56812i 0.999602 0.0281982i
\(163\) −203.435 + 203.435i −1.24807 + 1.24807i −0.291493 + 0.956573i \(0.594152\pi\)
−0.956573 + 0.291493i \(0.905848\pi\)
\(164\) −76.8836 + 26.2911i −0.468802 + 0.160312i
\(165\) −45.6548 + 24.3202i −0.276696 + 0.147395i
\(166\) 35.4475 + 25.3411i 0.213539 + 0.152657i
\(167\) −14.9598 + 25.9112i −0.0895799 + 0.155157i −0.907334 0.420411i \(-0.861886\pi\)
0.817754 + 0.575568i \(0.195219\pi\)
\(168\) −208.677 13.2674i −1.24213 0.0789725i
\(169\) −111.304 + 64.2614i −0.658603 + 0.380245i
\(170\) −0.905649 + 9.30226i −0.00532735 + 0.0547192i
\(171\) 35.1936 + 179.578i 0.205811 + 1.05016i
\(172\) 97.5227 65.4798i 0.566992 0.380697i
\(173\) −49.5987 + 185.105i −0.286698 + 1.06997i 0.660892 + 0.750481i \(0.270178\pi\)
−0.947590 + 0.319490i \(0.896488\pi\)
\(174\) 20.0475 151.937i 0.115215 0.873199i
\(175\) −105.582 + 182.873i −0.603323 + 1.04499i
\(176\) 39.8181 313.315i 0.226239 1.78020i
\(177\) −41.3599 + 38.6283i −0.233672 + 0.218239i
\(178\) 48.4375 129.135i 0.272121 0.725478i
\(179\) 184.893 + 184.893i 1.03292 + 1.03292i 0.999439 + 0.0334811i \(0.0106593\pi\)
0.0334811 + 0.999439i \(0.489341\pi\)
\(180\) −15.7075 27.2424i −0.0872636 0.151347i
\(181\) 65.5568 + 65.5568i 0.362192 + 0.362192i 0.864619 0.502427i \(-0.167560\pi\)
−0.502427 + 0.864619i \(0.667560\pi\)
\(182\) 273.629 124.350i 1.50345 0.683242i
\(183\) 14.1207 + 60.9491i 0.0771621 + 0.333055i
\(184\) 2.25270 76.7135i 0.0122430 0.416921i
\(185\) 23.8571 41.3217i 0.128957 0.223360i
\(186\) 124.791 301.027i 0.670921 1.61843i
\(187\) 27.3323 102.006i 0.146162 0.545484i
\(188\) −149.090 29.3080i −0.793033 0.155894i
\(189\) 214.677 96.1753i 1.13586 0.508864i
\(190\) 27.4333 22.5655i 0.144386 0.118766i
\(191\) 225.506 130.196i 1.18066 0.681655i 0.224494 0.974475i \(-0.427927\pi\)
0.956168 + 0.292820i \(0.0945937\pi\)
\(192\) 191.173 + 17.8016i 0.995693 + 0.0927165i
\(193\) 85.0009 147.226i 0.440419 0.762828i −0.557301 0.830310i \(-0.688163\pi\)
0.997720 + 0.0674820i \(0.0214965\pi\)
\(194\) 201.332 33.4722i 1.03779 0.172537i
\(195\) 38.3512 + 23.9234i 0.196673 + 0.122684i
\(196\) −101.836 + 34.8240i −0.519573 + 0.177673i
\(197\) −82.1206 + 82.1206i −0.416856 + 0.416856i −0.884119 0.467263i \(-0.845240\pi\)
0.467263 + 0.884119i \(0.345240\pi\)
\(198\) 124.594 + 332.754i 0.629263 + 1.68057i
\(199\) 284.140i 1.42784i −0.700229 0.713918i \(-0.746919\pi\)
0.700229 0.713918i \(-0.253081\pi\)
\(200\) 101.835 165.001i 0.509175 0.825004i
\(201\) −225.986 + 211.061i −1.12431 + 1.05006i
\(202\) −58.9699 + 82.4879i −0.291930 + 0.408356i
\(203\) −57.5963 214.952i −0.283726 1.05888i
\(204\) 62.5330 + 14.5257i 0.306534 + 0.0712042i
\(205\) −17.1396 4.59253i −0.0836076 0.0224026i
\(206\) 42.8388 35.2375i 0.207956 0.171056i
\(207\) 37.9684 + 77.5433i 0.183422 + 0.374606i
\(208\) −254.497 + 106.758i −1.22354 + 0.513258i
\(209\) −347.589 + 200.681i −1.66311 + 0.960195i
\(210\) −36.2184 27.8080i −0.172468 0.132419i
\(211\) −41.0692 153.272i −0.194641 0.726409i −0.992360 0.123380i \(-0.960627\pi\)
0.797719 0.603030i \(-0.206040\pi\)
\(212\) 62.6081 4.24476i 0.295321 0.0200224i
\(213\) −126.148 236.810i −0.592245 1.11178i
\(214\) 150.497 + 331.164i 0.703255 + 1.54749i
\(215\) 25.6520 0.119311
\(216\) −199.629 + 82.4868i −0.924211 + 0.381883i
\(217\) 473.185i 2.18057i
\(218\) 27.5206 + 60.5582i 0.126241 + 0.277790i
\(219\) 121.825 64.8961i 0.556280 0.296329i
\(220\) 45.3594 51.9574i 0.206179 0.236170i
\(221\) −89.1340 + 23.8834i −0.403321 + 0.108070i
\(222\) −259.957 199.591i −1.17098 0.899058i
\(223\) 118.449 + 205.160i 0.531163 + 0.920001i 0.999339 + 0.0363657i \(0.0115781\pi\)
−0.468176 + 0.883635i \(0.655089\pi\)
\(224\) 266.334 82.4271i 1.18899 0.367978i
\(225\) −14.8809 + 217.625i −0.0661375 + 0.967221i
\(226\) −21.6280 + 17.7903i −0.0956990 + 0.0787181i
\(227\) −54.5257 + 203.493i −0.240201 + 0.896444i 0.735533 + 0.677489i \(0.236932\pi\)
−0.975735 + 0.218956i \(0.929735\pi\)
\(228\) −129.017 207.091i −0.565865 0.908295i
\(229\) −105.249 + 28.2013i −0.459602 + 0.123150i −0.481189 0.876617i \(-0.659795\pi\)
0.0215870 + 0.999767i \(0.493128\pi\)
\(230\) 9.74686 13.6340i 0.0423776 0.0592784i
\(231\) 352.163 + 377.066i 1.52451 + 1.63232i
\(232\) 47.0703 + 198.843i 0.202889 + 0.857080i
\(233\) −253.954 −1.08993 −0.544965 0.838459i \(-0.683457\pi\)
−0.544965 + 0.838459i \(0.683457\pi\)
\(234\) 197.374 239.668i 0.843477 1.02422i
\(235\) −23.4626 23.4626i −0.0998406 0.0998406i
\(236\) 33.2220 67.7506i 0.140771 0.287079i
\(237\) −10.0235 + 16.0684i −0.0422931 + 0.0677993i
\(238\) 91.9577 15.2884i 0.386377 0.0642368i
\(239\) −362.076 209.044i −1.51496 0.874663i −0.999846 0.0175416i \(-0.994416\pi\)
−0.515115 0.857121i \(-0.672251\pi\)
\(240\) 32.4929 + 26.4992i 0.135387 + 0.110413i
\(241\) −64.9733 112.537i −0.269599 0.466959i 0.699160 0.714966i \(-0.253558\pi\)
−0.968758 + 0.248007i \(0.920224\pi\)
\(242\) −414.965 + 341.334i −1.71473 + 1.41047i
\(243\) 155.479 186.749i 0.639833 0.768514i
\(244\) −46.5001 69.2552i −0.190574 0.283833i
\(245\) −22.7022 6.08304i −0.0926622 0.0248287i
\(246\) −46.6747 + 112.591i −0.189735 + 0.457686i
\(247\) 303.728 + 175.358i 1.22967 + 0.709950i
\(248\) −12.7534 + 434.304i −0.0514251 + 1.75123i
\(249\) 63.6745 14.7521i 0.255721 0.0592453i
\(250\) 78.3108 35.5882i 0.313243 0.142353i
\(251\) −320.937 + 320.937i −1.27863 + 1.27863i −0.337202 + 0.941432i \(0.609481\pi\)
−0.941432 + 0.337202i \(0.890519\pi\)
\(252\) −221.910 + 221.654i −0.880597 + 0.879580i
\(253\) −133.904 + 133.904i −0.529266 + 0.529266i
\(254\) −0.429348 + 1.14465i −0.00169035 + 0.00450648i
\(255\) 9.56908 + 10.2457i 0.0375258 + 0.0401794i
\(256\) −246.672 + 68.4760i −0.963562 + 0.267484i
\(257\) 402.208 + 232.215i 1.56501 + 0.903560i 0.996737 + 0.0807211i \(0.0257223\pi\)
0.568275 + 0.822839i \(0.307611\pi\)
\(258\) 23.0490 174.685i 0.0893373 0.677074i
\(259\) −459.687 123.173i −1.77485 0.475571i
\(260\) −59.1364 11.6250i −0.227448 0.0447114i
\(261\) −151.082 173.260i −0.578858 0.663832i
\(262\) −17.1236 + 175.883i −0.0653572 + 0.671309i
\(263\) 48.1127 + 83.3336i 0.182938 + 0.316858i 0.942880 0.333133i \(-0.108106\pi\)
−0.759942 + 0.649991i \(0.774773\pi\)
\(264\) −313.064 355.575i −1.18585 1.34687i
\(265\) 11.8676 + 6.85179i 0.0447836 + 0.0258558i
\(266\) −288.218 206.045i −1.08353 0.774606i
\(267\) −97.2653 182.590i −0.364289 0.683857i
\(268\) 181.522 370.182i 0.677319 1.38128i
\(269\) 131.457 + 131.457i 0.488687 + 0.488687i 0.907892 0.419205i \(-0.137691\pi\)
−0.419205 + 0.907892i \(0.637691\pi\)
\(270\) −46.2343 9.34622i −0.171238 0.0346156i
\(271\) 26.3277 0.0971502 0.0485751 0.998820i \(-0.484532\pi\)
0.0485751 + 0.998820i \(0.484532\pi\)
\(272\) −84.8138 + 11.5537i −0.311816 + 0.0424768i
\(273\) 131.480 431.240i 0.481613 1.57963i
\(274\) 176.828 29.3985i 0.645359 0.107294i
\(275\) −462.129 + 123.827i −1.68047 + 0.450280i
\(276\) −84.0874 78.6249i −0.304665 0.284873i
\(277\) −44.9704 + 167.832i −0.162348 + 0.605891i 0.836016 + 0.548706i \(0.184879\pi\)
−0.998364 + 0.0571852i \(0.981787\pi\)
\(278\) −11.6677 + 119.843i −0.0419701 + 0.431091i
\(279\) −214.954 439.002i −0.770443 1.57349i
\(280\) 58.3208 + 17.4771i 0.208288 + 0.0624183i
\(281\) −38.2172 66.1941i −0.136004 0.235566i 0.789976 0.613137i \(-0.210093\pi\)
−0.925981 + 0.377571i \(0.876759\pi\)
\(282\) −180.857 + 138.694i −0.641339 + 0.491822i
\(283\) −207.635 + 55.6357i −0.733694 + 0.196593i −0.606274 0.795256i \(-0.707336\pi\)
−0.127420 + 0.991849i \(0.540670\pi\)
\(284\) 269.501 + 235.278i 0.948947 + 0.828442i
\(285\) 1.81851 53.2514i 0.00638075 0.186847i
\(286\) 637.597 + 239.158i 2.22936 + 0.836216i
\(287\) 176.981i 0.616660i
\(288\) 209.651 197.460i 0.727953 0.685627i
\(289\) 260.379 0.900967
\(290\) −15.6715 + 41.7804i −0.0540396 + 0.144070i
\(291\) 162.031 259.749i 0.556807 0.892607i
\(292\) −121.037 + 138.643i −0.414510 + 0.474805i
\(293\) −92.9669 346.957i −0.317293 1.18415i −0.921835 0.387581i \(-0.873311\pi\)
0.604542 0.796573i \(-0.293356\pi\)
\(294\) −61.8230 + 149.132i −0.210282 + 0.507252i
\(295\) 14.2706 8.23911i 0.0483748 0.0279292i
\(296\) 418.596 + 125.442i 1.41418 + 0.423789i
\(297\) 498.013 + 189.850i 1.67681 + 0.639225i
\(298\) −404.668 39.3976i −1.35794 0.132207i
\(299\) 159.835 + 42.8277i 0.534566 + 0.143237i
\(300\) −84.6596 278.250i −0.282199 0.927499i
\(301\) −66.2199 247.136i −0.220000 0.821049i
\(302\) −11.2247 67.5156i −0.0371680 0.223562i
\(303\) 34.3288 + 148.173i 0.113296 + 0.489021i
\(304\) 258.983 + 196.883i 0.851917 + 0.647641i
\(305\) 18.2166i 0.0597265i
\(306\) 78.3698 55.9576i 0.256110 0.182868i
\(307\) 377.753 377.753i 1.23046 1.23046i 0.266679 0.963785i \(-0.414074\pi\)
0.963785 0.266679i \(-0.0859265\pi\)
\(308\) −617.662 302.875i −2.00540 0.983359i
\(309\) 2.83973 83.1555i 0.00919006 0.269112i
\(310\) −55.1807 + 77.1874i −0.178002 + 0.248992i
\(311\) −89.5301 + 155.071i −0.287878 + 0.498619i −0.973303 0.229524i \(-0.926283\pi\)
0.685425 + 0.728143i \(0.259616\pi\)
\(312\) −132.300 + 392.263i −0.424038 + 1.25725i
\(313\) 9.54797 5.51252i 0.0305047 0.0176119i −0.484670 0.874697i \(-0.661060\pi\)
0.515175 + 0.857085i \(0.327727\pi\)
\(314\) 255.460 + 24.8711i 0.813567 + 0.0792072i
\(315\) −67.2149 + 13.1727i −0.213381 + 0.0418182i
\(316\) 4.87065 24.7770i 0.0154134 0.0784084i
\(317\) −46.9548 + 175.238i −0.148122 + 0.552800i 0.851474 + 0.524397i \(0.175709\pi\)
−0.999597 + 0.0284037i \(0.990958\pi\)
\(318\) 57.3229 74.6600i 0.180261 0.234780i
\(319\) 252.098 436.647i 0.790277 1.36880i
\(320\) −53.0576 17.6129i −0.165805 0.0550404i
\(321\) 521.915 + 159.126i 1.62590 + 0.495720i
\(322\) −156.514 58.7072i −0.486069 0.182321i
\(323\) 76.9164 + 76.9164i 0.238131 + 0.238131i
\(324\) −105.189 + 306.449i −0.324657 + 0.945832i
\(325\) 295.613 + 295.613i 0.909579 + 0.909579i
\(326\) −238.060 523.844i −0.730246 1.60688i
\(327\) 95.4400 + 29.0986i 0.291866 + 0.0889865i
\(328\) 4.77006 162.439i 0.0145429 0.495242i
\(329\) −165.475 + 286.611i −0.502963 + 0.871157i
\(330\) −13.4742 102.576i −0.0408310 0.310836i
\(331\) −9.94275 + 37.1068i −0.0300385 + 0.112105i −0.979317 0.202330i \(-0.935149\pi\)
0.949279 + 0.314436i \(0.101815\pi\)
\(332\) −72.3521 + 48.5794i −0.217928 + 0.146324i
\(333\) −482.434 + 94.5471i −1.44875 + 0.283925i
\(334\) −38.0136 46.2138i −0.113813 0.138365i
\(335\) 77.9729 45.0177i 0.232755 0.134381i
\(336\) 171.419 381.450i 0.510175 1.13527i
\(337\) −15.1126 + 26.1759i −0.0448446 + 0.0776732i −0.887576 0.460660i \(-0.847613\pi\)
0.842732 + 0.538334i \(0.180946\pi\)
\(338\) −42.1563 253.565i −0.124723 0.750192i
\(339\) −1.43369 + 41.9826i −0.00422917 + 0.123842i
\(340\) −16.7833 8.22981i −0.0493627 0.0242053i
\(341\) 758.083 758.083i 2.22312 2.22312i
\(342\) −360.998 60.2317i −1.05555 0.176116i
\(343\) 192.488i 0.561190i
\(344\) 54.1178 + 228.614i 0.157319 + 0.664576i
\(345\) −5.67404 24.4909i −0.0164465 0.0709881i
\(346\) −311.790 222.896i −0.901127 0.644208i
\(347\) −24.2425 90.4741i −0.0698630 0.260732i 0.922156 0.386817i \(-0.126426\pi\)
−0.992019 + 0.126085i \(0.959759\pi\)
\(348\) 270.435 + 144.261i 0.777113 + 0.414543i
\(349\) −185.927 49.8190i −0.532742 0.142748i −0.0175877 0.999845i \(-0.505599\pi\)
−0.515154 + 0.857098i \(0.672265\pi\)
\(350\) −268.287 326.161i −0.766535 0.931890i
\(351\) −73.9172 459.816i −0.210590 1.31002i
\(352\) 558.747 + 294.636i 1.58735 + 0.837033i
\(353\) −349.031 + 201.513i −0.988757 + 0.570859i −0.904903 0.425619i \(-0.860056\pi\)
−0.0838546 + 0.996478i \(0.526723\pi\)
\(354\) −43.2843 104.583i −0.122272 0.295432i
\(355\) 20.2202 + 75.4629i 0.0569584 + 0.212571i
\(356\) 207.796 + 181.408i 0.583697 + 0.509574i
\(357\) 74.0072 118.640i 0.207303 0.332324i
\(358\) −476.099 + 216.362i −1.32988 + 0.604364i
\(359\) 366.557 1.02105 0.510526 0.859862i \(-0.329451\pi\)
0.510526 + 0.859862i \(0.329451\pi\)
\(360\) 62.0471 10.2788i 0.172353 0.0285522i
\(361\) 52.4182i 0.145203i
\(362\) −168.809 + 76.7147i −0.466322 + 0.211919i
\(363\) −27.5075 + 805.500i −0.0757782 + 2.21901i
\(364\) 40.6618 + 599.741i 0.111708 + 1.64764i
\(365\) −38.8214 + 10.4022i −0.106360 + 0.0284991i
\(366\) −124.052 16.3681i −0.338939 0.0447217i
\(367\) 307.579 + 532.742i 0.838089 + 1.45161i 0.891490 + 0.453040i \(0.149661\pi\)
−0.0534010 + 0.998573i \(0.517006\pi\)
\(368\) 142.071 + 58.1018i 0.386064 + 0.157885i
\(369\) 80.3973 + 164.196i 0.217879 + 0.444977i
\(370\) 60.6218 + 73.6990i 0.163843 + 0.199187i
\(371\) 35.3754 132.023i 0.0953516 0.355857i
\(372\) 476.051 + 445.125i 1.27971 + 1.19657i
\(373\) 394.402 105.680i 1.05738 0.283323i 0.312080 0.950056i \(-0.398974\pi\)
0.745297 + 0.666733i \(0.232308\pi\)
\(374\) 171.818 + 122.831i 0.459406 + 0.328425i
\(375\) 37.6288 123.418i 0.100343 0.329115i
\(376\) 159.603 258.601i 0.424476 0.687768i
\(377\) −440.574 −1.16863
\(378\) 29.3094 + 469.558i 0.0775381 + 1.24222i
\(379\) 262.964 + 262.964i 0.693835 + 0.693835i 0.963074 0.269238i \(-0.0867719\pi\)
−0.269238 + 0.963074i \(0.586772\pi\)
\(380\) 22.9871 + 67.2215i 0.0604924 + 0.176899i
\(381\) 0.862155 + 1.61847i 0.00226287 + 0.00424795i
\(382\) 85.4103 + 513.733i 0.223587 + 1.34485i
\(383\) 351.360 + 202.858i 0.917388 + 0.529654i 0.882801 0.469747i \(-0.155655\pi\)
0.0345873 + 0.999402i \(0.488988\pi\)
\(384\) −167.615 + 345.487i −0.436497 + 0.899706i
\(385\) −75.1135 130.100i −0.195100 0.337923i
\(386\) 215.991 + 262.584i 0.559562 + 0.680269i
\(387\) −173.703 199.201i −0.448844 0.514732i
\(388\) −78.7348 + 400.525i −0.202925 + 1.03228i
\(389\) 491.809 + 131.780i 1.26429 + 0.338766i 0.827841 0.560963i \(-0.189569\pi\)
0.436450 + 0.899728i \(0.356236\pi\)
\(390\) −71.7368 + 55.0127i −0.183941 + 0.141058i
\(391\) 44.4466 + 25.6613i 0.113674 + 0.0656298i
\(392\) 6.31818 215.159i 0.0161178 0.548875i
\(393\) 180.928 + 193.722i 0.460376 + 0.492931i
\(394\) −96.0979 211.461i −0.243903 0.536702i
\(395\) 3.89920 3.89920i 0.00987139 0.00987139i
\(396\) −710.630 0.410301i −1.79452 0.00103611i
\(397\) 137.821 137.821i 0.347157 0.347157i −0.511893 0.859049i \(-0.671055\pi\)
0.859049 + 0.511893i \(0.171055\pi\)
\(398\) 532.080 + 199.579i 1.33688 + 0.501455i
\(399\) −517.728 + 119.947i −1.29757 + 0.300619i
\(400\) 237.452 + 306.593i 0.593630 + 0.766481i
\(401\) −159.923 92.3315i −0.398810 0.230253i 0.287160 0.957883i \(-0.407289\pi\)
−0.685970 + 0.727629i \(0.740622\pi\)
\(402\) −236.501 571.431i −0.588312 1.42147i
\(403\) −904.888 242.464i −2.24538 0.601648i
\(404\) −113.047 168.366i −0.279818 0.416749i
\(405\) −56.3754 + 42.7549i −0.139199 + 0.105568i
\(406\) 442.976 + 43.1272i 1.09107 + 0.106225i
\(407\) −539.126 933.793i −1.32463 2.29433i
\(408\) −71.1238 + 106.897i −0.174323 + 0.262001i
\(409\) 309.169 + 178.499i 0.755913 + 0.436427i 0.827827 0.560984i \(-0.189577\pi\)
−0.0719132 + 0.997411i \(0.522910\pi\)
\(410\) 20.6388 28.8698i 0.0503385 0.0704141i
\(411\) 142.311 228.136i 0.346255 0.555074i
\(412\) 35.8959 + 104.971i 0.0871259 + 0.254784i
\(413\) −116.216 116.216i −0.281395 0.281395i
\(414\) −171.877 + 16.6334i −0.415161 + 0.0401773i
\(415\) −19.0312 −0.0458582
\(416\) −21.1563 551.558i −0.0508565 1.32586i
\(417\) 123.281 + 131.998i 0.295637 + 0.316543i
\(418\) −131.649 791.854i −0.314950 1.89439i
\(419\) −370.611 + 99.3049i −0.884513 + 0.237005i −0.672353 0.740230i \(-0.734716\pi\)
−0.212160 + 0.977235i \(0.568050\pi\)
\(420\) 77.5129 48.2903i 0.184555 0.114977i
\(421\) 3.08113 11.4989i 0.00731860 0.0273134i −0.962170 0.272450i \(-0.912166\pi\)
0.969489 + 0.245136i \(0.0788328\pi\)
\(422\) 315.865 + 30.7520i 0.748495 + 0.0728719i
\(423\) −23.3225 + 341.077i −0.0551358 + 0.806328i
\(424\) −36.0270 + 120.221i −0.0849695 + 0.283541i
\(425\) 64.8318 + 112.292i 0.152545 + 0.264216i
\(426\) 532.057 69.8904i 1.24896 0.164062i
\(427\) −175.502 + 47.0257i −0.411012 + 0.110130i
\(428\) −725.846 + 49.2116i −1.69590 + 0.114980i
\(429\) 901.528 480.242i 2.10146 1.11944i
\(430\) −18.0179 + 48.0359i −0.0419021 + 0.111711i
\(431\) 391.881i 0.909236i 0.890687 + 0.454618i \(0.150224\pi\)
−0.890687 + 0.454618i \(0.849776\pi\)
\(432\) −14.2455 431.765i −0.0329756 0.999456i
\(433\) −417.756 −0.964795 −0.482398 0.875952i \(-0.660234\pi\)
−0.482398 + 0.875952i \(0.660234\pi\)
\(434\) 886.086 + 332.364i 2.04167 + 0.765815i
\(435\) 31.4692 + 59.0752i 0.0723430 + 0.135805i
\(436\) −132.732 + 8.99907i −0.304431 + 0.0206401i
\(437\) −50.4847 188.411i −0.115526 0.431148i
\(438\) 35.9546 + 273.713i 0.0820882 + 0.624916i
\(439\) 84.8008 48.9598i 0.193168 0.111526i −0.400297 0.916386i \(-0.631093\pi\)
0.593465 + 0.804860i \(0.297760\pi\)
\(440\) 65.4351 + 121.435i 0.148716 + 0.275988i
\(441\) 106.490 + 217.487i 0.241475 + 0.493167i
\(442\) 17.8835 183.688i 0.0404604 0.415584i
\(443\) −452.327 121.201i −1.02105 0.273591i −0.290813 0.956780i \(-0.593926\pi\)
−0.730242 + 0.683189i \(0.760593\pi\)
\(444\) 556.347 346.603i 1.25303 0.780637i
\(445\) 15.5906 + 58.1849i 0.0350350 + 0.130753i
\(446\) −467.382 + 77.7042i −1.04794 + 0.174225i
\(447\) −445.711 + 416.275i −0.997117 + 0.931263i
\(448\) −32.7196 + 556.635i −0.0730348 + 1.24249i
\(449\) 105.840i 0.235723i −0.993030 0.117862i \(-0.962396\pi\)
0.993030 0.117862i \(-0.0376040\pi\)
\(450\) −397.072 180.725i −0.882382 0.401612i
\(451\) −283.540 + 283.540i −0.628691 + 0.628691i
\(452\) −18.1227 52.9965i −0.0400944 0.117249i
\(453\) −87.1054 54.3363i −0.192286 0.119948i
\(454\) −342.762 245.038i −0.754983 0.539731i
\(455\) −65.6353 + 113.684i −0.144253 + 0.249854i
\(456\) 478.421 96.1374i 1.04917 0.210828i
\(457\) 626.181 361.526i 1.37020 0.791085i 0.379247 0.925295i \(-0.376183\pi\)
0.990953 + 0.134210i \(0.0428497\pi\)
\(458\) 21.1167 216.898i 0.0461063 0.473576i
\(459\) 14.7666 143.688i 0.0321713 0.313047i
\(460\) 18.6849 + 27.8285i 0.0406194 + 0.0604967i
\(461\) 37.7524 140.894i 0.0818925 0.305627i −0.912815 0.408373i \(-0.866096\pi\)
0.994708 + 0.102746i \(0.0327629\pi\)
\(462\) −953.452 + 394.610i −2.06375 + 0.854135i
\(463\) −71.0549 + 123.071i −0.153466 + 0.265811i −0.932500 0.361171i \(-0.882377\pi\)
0.779033 + 0.626983i \(0.215710\pi\)
\(464\) −405.415 51.5227i −0.873739 0.111040i
\(465\) 32.1229 + 138.652i 0.0690815 + 0.298177i
\(466\) 178.377 475.554i 0.382783 1.02050i
\(467\) 459.423 + 459.423i 0.983775 + 0.983775i 0.999870 0.0160956i \(-0.00512360\pi\)
−0.0160956 + 0.999870i \(0.505124\pi\)
\(468\) 310.169 + 537.945i 0.662754 + 1.14946i
\(469\) −634.994 634.994i −1.35393 1.35393i
\(470\) 60.4161 27.4560i 0.128545 0.0584169i
\(471\) 281.370 262.787i 0.597389 0.557935i
\(472\) 103.535 + 109.799i 0.219353 + 0.232626i
\(473\) 289.843 502.024i 0.612777 1.06136i
\(474\) −23.0493 30.0564i −0.0486272 0.0634101i
\(475\) 127.547 476.011i 0.268520 1.00213i
\(476\) −35.9619 + 182.939i −0.0755503 + 0.384325i
\(477\) −27.1541 138.556i −0.0569268 0.290473i
\(478\) 645.778 531.191i 1.35100 1.11128i
\(479\) 309.366 178.612i 0.645857 0.372886i −0.141010 0.990008i \(-0.545035\pi\)
0.786867 + 0.617122i \(0.211702\pi\)
\(480\) −72.4454 + 42.2333i −0.150928 + 0.0879860i
\(481\) −471.096 + 815.962i −0.979409 + 1.69639i
\(482\) 256.374 42.6233i 0.531897 0.0884300i
\(483\) −221.303 + 117.887i −0.458183 + 0.244073i
\(484\) −347.711 1016.82i −0.718411 2.10086i
\(485\) −63.0312 + 63.0312i −0.129961 + 0.129961i
\(486\) 240.498 + 422.323i 0.494852 + 0.868977i
\(487\) 67.6264i 0.138863i −0.997587 0.0694316i \(-0.977881\pi\)
0.997587 0.0694316i \(-0.0221186\pi\)
\(488\) 162.349 38.4315i 0.332682 0.0787530i
\(489\) −825.581 251.710i −1.68831 0.514745i
\(490\) 27.3371 38.2395i 0.0557900 0.0780398i
\(491\) 212.106 + 791.591i 0.431988 + 1.61220i 0.748172 + 0.663505i \(0.230932\pi\)
−0.316184 + 0.948698i \(0.602402\pi\)
\(492\) −178.053 166.487i −0.361897 0.338387i
\(493\) −131.990 35.3667i −0.267729 0.0717377i
\(494\) −541.713 + 445.591i −1.09659 + 0.902007i
\(495\) −128.788 86.5804i −0.260178 0.174910i
\(496\) −804.321 328.936i −1.62161 0.663178i
\(497\) 674.826 389.611i 1.35780 0.783925i
\(498\) −17.1001 + 129.599i −0.0343375 + 0.260239i
\(499\) −53.4646 199.533i −0.107143 0.399865i 0.891436 0.453147i \(-0.149699\pi\)
−0.998580 + 0.0532816i \(0.983032\pi\)
\(500\) 11.6371 + 171.642i 0.0232743 + 0.343284i
\(501\) −89.7068 3.06345i −0.179055 0.00611467i
\(502\) −375.562 826.413i −0.748131 1.64624i
\(503\) −49.7776 −0.0989614 −0.0494807 0.998775i \(-0.515757\pi\)
−0.0494807 + 0.998775i \(0.515757\pi\)
\(504\) −259.201 571.239i −0.514287 1.13341i
\(505\) 44.2864i 0.0876958i
\(506\) −156.695 344.804i −0.309675 0.681430i
\(507\) −327.138 204.068i −0.645242 0.402501i
\(508\) −1.84189 1.60800i −0.00362578 0.00316535i
\(509\) 101.934 27.3131i 0.200263 0.0536602i −0.157293 0.987552i \(-0.550277\pi\)
0.357556 + 0.933892i \(0.383610\pi\)
\(510\) −25.9075 + 10.7225i −0.0507990 + 0.0210245i
\(511\) 200.433 + 347.160i 0.392237 + 0.679374i
\(512\) 45.0337 510.016i 0.0879564 0.996124i
\(513\) −425.840 + 346.471i −0.830098 + 0.675382i
\(514\) −717.356 + 590.068i −1.39563 + 1.14799i
\(515\) −6.27028 + 23.4010i −0.0121753 + 0.0454389i
\(516\) 310.926 + 165.860i 0.602570 + 0.321434i
\(517\) −724.281 + 194.070i −1.40093 + 0.375378i
\(518\) 553.537 774.295i 1.06860 1.49478i
\(519\) −560.070 + 129.757i −1.07913 + 0.250013i
\(520\) 63.3062 102.574i 0.121743 0.197257i
\(521\) 161.848 0.310649 0.155324 0.987864i \(-0.450358\pi\)
0.155324 + 0.987864i \(0.450358\pi\)
\(522\) 430.567 161.219i 0.824841 0.308848i
\(523\) 406.971 + 406.971i 0.778147 + 0.778147i 0.979516 0.201369i \(-0.0645389\pi\)
−0.201369 + 0.979516i \(0.564539\pi\)
\(524\) −317.331 155.606i −0.605594 0.296957i
\(525\) −633.120 21.6208i −1.20594 0.0411825i
\(526\) −189.845 + 31.5625i −0.360922 + 0.0600048i
\(527\) −251.629 145.278i −0.477475 0.275670i
\(528\) 885.745 336.488i 1.67755 0.637289i
\(529\) 218.484 + 378.426i 0.413014 + 0.715360i
\(530\) −21.1665 + 17.4107i −0.0399368 + 0.0328504i
\(531\) −160.615 55.0274i −0.302476 0.103630i
\(532\) 588.284 394.993i 1.10580 0.742468i
\(533\) 338.448 + 90.6869i 0.634987 + 0.170144i
\(534\) 410.237 53.8883i 0.768234 0.100914i
\(535\) −137.587 79.4361i −0.257173 0.148479i
\(536\) 565.704 + 599.933i 1.05542 + 1.11928i
\(537\) −228.768 + 750.334i −0.426012 + 1.39727i
\(538\) −338.501 + 153.831i −0.629184 + 0.285932i
\(539\) −375.563 + 375.563i −0.696777 + 0.696777i
\(540\) 49.9767 80.0137i 0.0925494 0.148174i
\(541\) −500.402 + 500.402i −0.924957 + 0.924957i −0.997374 0.0724176i \(-0.976929\pi\)
0.0724176 + 0.997374i \(0.476929\pi\)
\(542\) −18.4925 + 49.3013i −0.0341191 + 0.0909619i
\(543\) −81.1135 + 266.043i −0.149380 + 0.489951i
\(544\) 37.9376 166.938i 0.0697383 0.306871i
\(545\) −25.1599 14.5261i −0.0461650 0.0266534i
\(546\) 715.190 + 549.112i 1.30987 + 1.00570i
\(547\) 461.440 + 123.643i 0.843583 + 0.226037i 0.654631 0.755949i \(-0.272824\pi\)
0.188953 + 0.981986i \(0.439491\pi\)
\(548\) −69.1523 + 351.778i −0.126190 + 0.641932i
\(549\) −141.462 + 123.354i −0.257672 + 0.224688i
\(550\) 92.7197 952.359i 0.168581 1.73156i
\(551\) 259.671 + 449.764i 0.471273 + 0.816268i
\(552\) 206.296 102.236i 0.373725 0.185211i
\(553\) −47.6313 27.5000i −0.0861326 0.0497287i
\(554\) −282.695 202.096i −0.510280 0.364795i
\(555\) 143.059 + 4.88541i 0.257764 + 0.00880254i
\(556\) −216.223 106.027i −0.388891 0.190695i
\(557\) −602.645 602.645i −1.08195 1.08195i −0.996328 0.0856202i \(-0.972713\pi\)
−0.0856202 0.996328i \(-0.527287\pi\)
\(558\) 973.059 94.1679i 1.74383 0.168760i
\(559\) −506.539 −0.906152
\(560\) −73.6921 + 96.9357i −0.131593 + 0.173099i
\(561\) 308.637 71.5049i 0.550155 0.127460i
\(562\) 150.799 25.0710i 0.268326 0.0446103i
\(563\) 737.266 197.550i 1.30953 0.350888i 0.464485 0.885581i \(-0.346239\pi\)
0.845047 + 0.534693i \(0.179573\pi\)
\(564\) −132.684 436.092i −0.235256 0.773213i
\(565\) 3.16567 11.8144i 0.00560295 0.0209105i
\(566\) 41.6591 427.897i 0.0736027 0.756001i
\(567\) 557.441 + 432.761i 0.983141 + 0.763247i
\(568\) −629.878 + 339.409i −1.10894 + 0.597552i
\(569\) −162.828 282.027i −0.286166 0.495654i 0.686725 0.726917i \(-0.259048\pi\)
−0.972891 + 0.231263i \(0.925714\pi\)
\(570\) 98.4413 + 40.8090i 0.172704 + 0.0715948i
\(571\) 110.932 29.7242i 0.194277 0.0520564i −0.160368 0.987057i \(-0.551268\pi\)
0.354645 + 0.935001i \(0.384602\pi\)
\(572\) −895.694 + 1025.98i −1.56590 + 1.79367i
\(573\) 662.794 + 413.450i 1.15671 + 0.721554i
\(574\) −331.416 124.311i −0.577379 0.216570i
\(575\) 232.513i 0.404370i
\(576\) 222.507 + 531.288i 0.386296 + 0.922375i
\(577\) −481.810 −0.835026 −0.417513 0.908671i \(-0.637098\pi\)
−0.417513 + 0.908671i \(0.637098\pi\)
\(578\) −182.890 + 487.587i −0.316419 + 0.843576i
\(579\) 509.708 + 17.4063i 0.880325 + 0.0300628i
\(580\) −67.2304 58.6929i −0.115914 0.101195i
\(581\) 49.1285 + 183.350i 0.0845585 + 0.315577i
\(582\) 372.595 + 485.866i 0.640198 + 0.834821i
\(583\) 268.187 154.838i 0.460012 0.265588i
\(584\) −174.607 324.037i −0.298985 0.554857i
\(585\) −9.25081 + 135.287i −0.0158134 + 0.231261i
\(586\) 715.013 + 69.6121i 1.22016 + 0.118792i
\(587\) 35.1089 + 9.40740i 0.0598107 + 0.0160262i 0.288600 0.957450i \(-0.406810\pi\)
−0.228790 + 0.973476i \(0.573477\pi\)
\(588\) −235.841 220.520i −0.401090 0.375034i
\(589\) 285.813 + 1066.67i 0.485251 + 1.81098i
\(590\) 5.40496 + 32.5102i 0.00916095 + 0.0551021i
\(591\) −333.263 101.608i −0.563897 0.171926i
\(592\) −528.923 + 695.754i −0.893451 + 1.17526i
\(593\) 116.567i 0.196572i 0.995158 + 0.0982861i \(0.0313360\pi\)
−0.995158 + 0.0982861i \(0.968664\pi\)
\(594\) −705.316 + 799.229i −1.18740 + 1.34550i
\(595\) −28.7893 + 28.7893i −0.0483854 + 0.0483854i
\(596\) 358.014 730.108i 0.600694 1.22501i
\(597\) 752.333 400.766i 1.26019 0.671300i
\(598\) −192.467 + 269.226i −0.321852 + 0.450210i
\(599\) −58.7912 + 101.829i −0.0981490 + 0.169999i −0.910918 0.412586i \(-0.864626\pi\)
0.812770 + 0.582585i \(0.197959\pi\)
\(600\) 580.515 + 36.9083i 0.967526 + 0.0615139i
\(601\) −1027.53 + 593.245i −1.70970 + 0.987097i −0.774788 + 0.632221i \(0.782144\pi\)
−0.934913 + 0.354876i \(0.884523\pi\)
\(602\) 509.300 + 49.5844i 0.846013 + 0.0823660i
\(603\) −877.582 300.664i −1.45536 0.498614i
\(604\) 134.314 + 26.4033i 0.222374 + 0.0437141i
\(605\) 60.7381 226.678i 0.100394 0.374674i
\(606\) −301.582 39.7926i −0.497660 0.0656644i
\(607\) 326.518 565.545i 0.537920 0.931705i −0.461096 0.887350i \(-0.652544\pi\)
0.999016 0.0443546i \(-0.0141231\pi\)
\(608\) −550.593 + 346.682i −0.905580 + 0.570200i
\(609\) 487.905 455.682i 0.801157 0.748246i
\(610\) 34.1124 + 12.7953i 0.0559220 + 0.0209759i
\(611\) 463.306 + 463.306i 0.758274 + 0.758274i
\(612\) 49.7395 + 186.060i 0.0812736 + 0.304019i
\(613\) 525.240 + 525.240i 0.856835 + 0.856835i 0.990964 0.134129i \(-0.0428238\pi\)
−0.134129 + 0.990964i \(0.542824\pi\)
\(614\) 442.047 + 972.713i 0.719947 + 1.58422i
\(615\) −12.0147 51.8589i −0.0195360 0.0843235i
\(616\) 1001.01 943.896i 1.62501 1.53230i
\(617\) 278.589 482.530i 0.451522 0.782058i −0.546959 0.837159i \(-0.684215\pi\)
0.998481 + 0.0551009i \(0.0175481\pi\)
\(618\) 153.723 + 63.7260i 0.248742 + 0.103116i
\(619\) 223.411 833.781i 0.360923 1.34698i −0.511943 0.859020i \(-0.671074\pi\)
0.872865 0.487962i \(-0.162259\pi\)
\(620\) −105.783 157.548i −0.170617 0.254109i
\(621\) −151.763 + 209.902i −0.244385 + 0.338007i
\(622\) −227.500 276.575i −0.365755 0.444655i
\(623\) 520.318 300.406i 0.835181 0.482192i
\(624\) −641.624 523.269i −1.02824 0.838572i
\(625\) 284.178 492.211i 0.454685 0.787537i
\(626\) 3.61628 + 21.7515i 0.00577681 + 0.0347469i
\(627\) −1021.61 637.281i −1.62937 1.01640i
\(628\) −226.008 + 460.905i −0.359886 + 0.733926i
\(629\) −206.635 + 206.635i −0.328513 + 0.328513i
\(630\) 22.5443 135.119i 0.0357847 0.214475i
\(631\) 134.339i 0.212898i 0.994318 + 0.106449i \(0.0339482\pi\)
−0.994318 + 0.106449i \(0.966052\pi\)
\(632\) 42.9764 + 26.5241i 0.0680006 + 0.0419686i
\(633\) 347.902 324.925i 0.549608 0.513310i
\(634\) −295.169 211.014i −0.465567 0.332830i
\(635\) −0.138194 0.515748i −0.000217629 0.000812202i
\(636\) 99.5449 + 159.784i 0.156517 + 0.251233i
\(637\) 448.292 + 120.119i 0.703755 + 0.188570i
\(638\) 640.593 + 778.780i 1.00406 + 1.22066i
\(639\) 449.089 668.019i 0.702800 1.04541i
\(640\) 70.2496 86.9845i 0.109765 0.135913i
\(641\) −158.586 + 91.5597i −0.247404 + 0.142839i −0.618575 0.785726i \(-0.712290\pi\)
0.371171 + 0.928565i \(0.378956\pi\)
\(642\) −664.572 + 865.570i −1.03516 + 1.34824i
\(643\) 187.763 + 700.741i 0.292011 + 1.08980i 0.943562 + 0.331195i \(0.107452\pi\)
−0.651552 + 0.758604i \(0.725882\pi\)
\(644\) 219.870 251.853i 0.341414 0.391076i
\(645\) 36.1809 + 67.9201i 0.0560944 + 0.105303i
\(646\) −198.060 + 90.0079i −0.306594 + 0.139331i
\(647\) −358.949 −0.554790 −0.277395 0.960756i \(-0.589471\pi\)
−0.277395 + 0.960756i \(0.589471\pi\)
\(648\) −499.973 412.227i −0.771564 0.636152i
\(649\) 372.378i 0.573771i
\(650\) −761.204 + 345.927i −1.17108 + 0.532196i
\(651\) 1252.88 667.405i 1.92454 1.02520i
\(652\) 1148.16 77.8443i 1.76099 0.119393i
\(653\) 659.597 176.738i 1.01010 0.270656i 0.284430 0.958697i \(-0.408196\pi\)
0.725672 + 0.688041i \(0.241529\pi\)
\(654\) −121.527 + 158.282i −0.185821 + 0.242022i
\(655\) −38.5905 66.8407i −0.0589168 0.102047i
\(656\) 300.833 + 123.029i 0.458588 + 0.187545i
\(657\) 343.658 + 231.031i 0.523072 + 0.351645i
\(658\) −420.479 511.183i −0.639025 0.776874i
\(659\) 328.832 1227.22i 0.498986 1.86224i −0.00746639 0.999972i \(-0.502377\pi\)
0.506452 0.862268i \(-0.330957\pi\)
\(660\) 201.548 + 46.8172i 0.305376 + 0.0709351i
\(661\) −1182.43 + 316.831i −1.78885 + 0.479321i −0.992150 0.125053i \(-0.960090\pi\)
−0.796700 + 0.604374i \(0.793423\pi\)
\(662\) −62.5026 44.6826i −0.0944148 0.0674964i
\(663\) −188.957 202.319i −0.285003 0.305156i
\(664\) −40.1500 169.609i −0.0604669 0.255435i
\(665\) 154.740 0.232691
\(666\) 161.811 969.816i 0.242960 1.45618i
\(667\) 173.266 + 173.266i 0.259769 + 0.259769i
\(668\) 113.241 38.7239i 0.169522 0.0579698i
\(669\) −376.147 + 602.994i −0.562253 + 0.901337i
\(670\) 29.5322 + 177.633i 0.0440779 + 0.265123i
\(671\) −356.509 205.831i −0.531310 0.306752i
\(672\) 593.900 + 588.929i 0.883779 + 0.876382i
\(673\) −187.494 324.750i −0.278595 0.482540i 0.692441 0.721475i \(-0.256535\pi\)
−0.971036 + 0.238934i \(0.923202\pi\)
\(674\) −38.4019 46.6858i −0.0569761 0.0692668i
\(675\) −597.206 + 267.549i −0.884750 + 0.396368i
\(676\) 504.437 + 99.1617i 0.746208 + 0.146689i
\(677\) −739.402 198.122i −1.09217 0.292647i −0.332600 0.943068i \(-0.607926\pi\)
−0.759574 + 0.650421i \(0.774593\pi\)
\(678\) −77.6097 32.1732i −0.114469 0.0474531i
\(679\) 769.968 + 444.541i 1.13397 + 0.654700i
\(680\) 27.1997 25.6478i 0.0399996 0.0377174i
\(681\) −615.706 + 142.646i −0.904120 + 0.209466i
\(682\) 887.112 + 1952.06i 1.30075 + 2.86226i
\(683\) 423.146 423.146i 0.619540 0.619540i −0.325873 0.945413i \(-0.605658\pi\)
0.945413 + 0.325873i \(0.105658\pi\)
\(684\) 366.354 633.699i 0.535606 0.926461i
\(685\) −55.3599 + 55.3599i −0.0808174 + 0.0808174i
\(686\) 360.454 + 135.203i 0.525443 + 0.197090i
\(687\) −223.119 238.897i −0.324773 0.347739i
\(688\) −466.115 59.2369i −0.677493 0.0861002i
\(689\) −234.346 135.300i −0.340124 0.196371i
\(690\) 49.8471 + 6.57714i 0.0722422 + 0.00953208i
\(691\) 615.162 + 164.832i 0.890248 + 0.238541i 0.674823 0.737979i \(-0.264220\pi\)
0.215425 + 0.976520i \(0.430886\pi\)
\(692\) 636.396 427.297i 0.919648 0.617481i
\(693\) −501.669 + 1464.28i −0.723908 + 2.11295i
\(694\) 186.450 + 18.1524i 0.268660 + 0.0261561i
\(695\) −26.2948 45.5440i −0.0378343 0.0655309i
\(696\) −460.096 + 405.089i −0.661058 + 0.582025i
\(697\) 94.1148 + 54.3372i 0.135028 + 0.0779587i
\(698\) 223.886 313.174i 0.320753 0.448674i
\(699\) −358.190 672.408i −0.512433 0.961957i
\(700\) 799.215 273.300i 1.14174 0.390428i
\(701\) −154.943 154.943i −0.221032 0.221032i 0.587901 0.808933i \(-0.299954\pi\)
−0.808933 + 0.587901i \(0.799954\pi\)
\(702\) 912.971 + 184.556i 1.30053 + 0.262900i
\(703\) 1110.64 1.57986
\(704\) −944.198 + 839.359i −1.34119 + 1.19227i
\(705\) 29.0303 95.2160i 0.0411777 0.135058i
\(706\) −132.195 795.139i −0.187245 1.12626i
\(707\) −426.664 + 114.324i −0.603485 + 0.161703i
\(708\) 226.245 7.59541i 0.319555 0.0107280i
\(709\) 156.033 582.322i 0.220074 0.821328i −0.764244 0.644927i \(-0.776888\pi\)
0.984318 0.176401i \(-0.0564456\pi\)
\(710\) −155.515 15.1406i −0.219035 0.0213247i
\(711\) −56.6829 3.87592i −0.0797228 0.00545136i
\(712\) −485.661 + 261.698i −0.682108 + 0.367554i
\(713\) 260.513 + 451.222i 0.365376 + 0.632850i
\(714\) 170.182 + 221.918i 0.238350 + 0.310810i
\(715\) −287.285 + 76.9777i −0.401797 + 0.107661i
\(716\) −70.7492 1043.52i −0.0988118 1.45742i
\(717\) 42.8078 1253.54i 0.0597040 1.74831i
\(718\) −257.469 + 686.416i −0.358592 + 0.956011i
\(719\) 1115.61i 1.55161i 0.630971 + 0.775806i \(0.282657\pi\)
−0.630971 + 0.775806i \(0.717343\pi\)
\(720\) −24.3337 + 123.409i −0.0337968 + 0.171402i
\(721\) 241.636 0.335141
\(722\) 98.1583 + 36.8184i 0.135953 + 0.0509950i
\(723\) 206.329 330.762i 0.285379 0.457485i
\(724\) −25.0853 369.996i −0.0346482 0.511044i
\(725\) 160.226 + 597.973i 0.221002 + 0.824790i
\(726\) −1489.06 617.292i −2.05104 0.850264i
\(727\) 141.933 81.9452i 0.195231 0.112717i −0.399198 0.916865i \(-0.630711\pi\)
0.594429 + 0.804148i \(0.297378\pi\)
\(728\) −1151.64 345.114i −1.58192 0.474057i
\(729\) 713.762 + 148.271i 0.979098 + 0.203389i
\(730\) 7.78897 80.0035i 0.0106698 0.109594i
\(731\) −151.752 40.6619i −0.207596 0.0556251i
\(732\) 117.785 220.802i 0.160908 0.301643i
\(733\) −352.346 1314.97i −0.480691 1.79396i −0.598727 0.800953i \(-0.704327\pi\)
0.118036 0.993009i \(-0.462340\pi\)
\(734\) −1213.66 + 201.775i −1.65348 + 0.274898i
\(735\) −15.9140 68.6898i −0.0216518 0.0934556i
\(736\) −208.592 + 225.233i −0.283413 + 0.306023i
\(737\) 2034.63i 2.76070i
\(738\) −363.946 + 35.2209i −0.493151 + 0.0477247i
\(739\) 591.976 591.976i 0.801050 0.801050i −0.182210 0.983260i \(-0.558325\pi\)
0.983260 + 0.182210i \(0.0583250\pi\)
\(740\) −180.590 + 61.7545i −0.244040 + 0.0834520i
\(741\) −35.9094 + 1051.53i −0.0484608 + 1.41907i
\(742\) 222.379 + 158.977i 0.299702 + 0.214254i
\(743\) 305.873 529.787i 0.411673 0.713038i −0.583400 0.812185i \(-0.698278\pi\)
0.995073 + 0.0991470i \(0.0316114\pi\)
\(744\) −1167.92 + 578.798i −1.56978 + 0.777955i
\(745\) 153.785 88.7881i 0.206423 0.119179i
\(746\) −79.1312 + 812.786i −0.106074 + 1.08953i
\(747\) 128.870 + 147.787i 0.172517 + 0.197841i
\(748\) −350.698 + 235.470i −0.468848 + 0.314799i
\(749\) −410.125 + 1530.61i −0.547563 + 2.04353i
\(750\) 204.683 + 157.152i 0.272910 + 0.209537i
\(751\) 681.190 1179.86i 0.907044 1.57105i 0.0888935 0.996041i \(-0.471667\pi\)
0.818150 0.575005i \(-0.195000\pi\)
\(752\) 372.151 + 480.513i 0.494882 + 0.638981i
\(753\) −1302.43 397.097i −1.72966 0.527353i
\(754\) 309.458 825.020i 0.410422 1.09419i
\(755\) 21.1372 + 21.1372i 0.0279963 + 0.0279963i
\(756\) −899.881 274.931i −1.19032 0.363666i
\(757\) 304.498 + 304.498i 0.402243 + 0.402243i 0.879023 0.476780i \(-0.158196\pi\)
−0.476780 + 0.879023i \(0.658196\pi\)
\(758\) −677.131 + 307.721i −0.893313 + 0.405964i
\(759\) −543.412 165.680i −0.715958 0.218287i
\(760\) −142.025 4.17060i −0.186875 0.00548763i
\(761\) −429.888 + 744.588i −0.564899 + 0.978433i 0.432160 + 0.901797i \(0.357751\pi\)
−0.997059 + 0.0766366i \(0.975582\pi\)
\(762\) −3.63632 + 0.477663i −0.00477208 + 0.000626854i
\(763\) −74.9975 + 279.894i −0.0982929 + 0.366834i
\(764\) −1022.01 200.906i −1.33771 0.262966i
\(765\) −13.6315 + 39.7878i −0.0178190 + 0.0520101i
\(766\) −626.666 + 515.470i −0.818102 + 0.672937i
\(767\) −281.795 + 162.694i −0.367399 + 0.212118i
\(768\) −529.227 556.545i −0.689098 0.724668i
\(769\) −74.5282 + 129.087i −0.0969158 + 0.167863i −0.910407 0.413715i \(-0.864231\pi\)
0.813491 + 0.581578i \(0.197564\pi\)
\(770\) 296.386 49.2754i 0.384917 0.0639940i
\(771\) −47.5526 + 1392.48i −0.0616765 + 1.80607i
\(772\) −643.427 + 220.026i −0.833454 + 0.285008i
\(773\) 243.686 243.686i 0.315247 0.315247i −0.531692 0.846938i \(-0.678443\pi\)