Properties

Label 126.2.l.a.5.1
Level $126$
Weight $2$
Character 126.5
Analytic conductor $1.006$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 126 = 2 \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 126.l (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.00611506547\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + 2785 x^{8} - 2640 x^{7} - 2601 x^{6} + 10260 x^{5} - 10611 x^{4} - 1944 x^{3} + \cdots + 6561 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{11}]\)
Coefficient ring index: \( 3^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 5.1
Root \(1.73109 - 0.0577511i\) of defining polynomial
Character \(\chi\) \(=\) 126.5
Dual form 126.2.l.a.101.5

$q$-expansion

\(f(q)\) \(=\) \(q-1.00000i q^{2} +(-0.890915 + 1.48535i) q^{3} -1.00000 q^{4} +(1.14095 + 1.97618i) q^{5} +(1.48535 + 0.890915i) q^{6} +(1.42337 + 2.23025i) q^{7} +1.00000i q^{8} +(-1.41254 - 2.64665i) q^{9} +O(q^{10})\) \(q-1.00000i q^{2} +(-0.890915 + 1.48535i) q^{3} -1.00000 q^{4} +(1.14095 + 1.97618i) q^{5} +(1.48535 + 0.890915i) q^{6} +(1.42337 + 2.23025i) q^{7} +1.00000i q^{8} +(-1.41254 - 2.64665i) q^{9} +(1.97618 - 1.14095i) q^{10} +(-0.946590 - 0.546514i) q^{11} +(0.890915 - 1.48535i) q^{12} +(5.91448 + 3.41473i) q^{13} +(2.23025 - 1.42337i) q^{14} +(-3.95182 - 0.0659003i) q^{15} +1.00000 q^{16} +(-3.35863 - 5.81732i) q^{17} +(-2.64665 + 1.41254i) q^{18} +(-2.47987 - 1.43175i) q^{19} +(-1.14095 - 1.97618i) q^{20} +(-4.58081 + 0.127243i) q^{21} +(-0.546514 + 0.946590i) q^{22} +(-3.38264 + 1.95297i) q^{23} +(-1.48535 - 0.890915i) q^{24} +(-0.103535 + 0.179327i) q^{25} +(3.41473 - 5.91448i) q^{26} +(5.18965 + 0.259820i) q^{27} +(-1.42337 - 2.23025i) q^{28} +(1.59933 - 0.923371i) q^{29} +(-0.0659003 + 3.95182i) q^{30} +2.02166i q^{31} -1.00000i q^{32} +(1.65510 - 0.919121i) q^{33} +(-5.81732 + 3.35863i) q^{34} +(-2.78339 + 5.35745i) q^{35} +(1.41254 + 2.64665i) q^{36} +(3.57920 - 6.19935i) q^{37} +(-1.43175 + 2.47987i) q^{38} +(-10.3414 + 5.74285i) q^{39} +(-1.97618 + 1.14095i) q^{40} +(2.45515 - 4.25245i) q^{41} +(0.127243 + 4.58081i) q^{42} +(-3.74246 - 6.48214i) q^{43} +(0.946590 + 0.546514i) q^{44} +(3.61862 - 5.81113i) q^{45} +(1.95297 + 3.38264i) q^{46} +6.80349 q^{47} +(-0.890915 + 1.48535i) q^{48} +(-2.94803 + 6.34895i) q^{49} +(0.179327 + 0.103535i) q^{50} +(11.6330 + 0.193992i) q^{51} +(-5.91448 - 3.41473i) q^{52} +(0.222069 - 0.128212i) q^{53} +(0.259820 - 5.18965i) q^{54} -2.49418i q^{55} +(-2.23025 + 1.42337i) q^{56} +(4.33601 - 2.40791i) q^{57} +(-0.923371 - 1.59933i) q^{58} +1.94202 q^{59} +(3.95182 + 0.0659003i) q^{60} +1.33154i q^{61} +2.02166 q^{62} +(3.89211 - 6.91748i) q^{63} -1.00000 q^{64} +15.5841i q^{65} +(-0.919121 - 1.65510i) q^{66} +5.09918 q^{67} +(3.35863 + 5.81732i) q^{68} +(0.112802 - 6.76433i) q^{69} +(5.35745 + 2.78339i) q^{70} -0.233507i q^{71} +(2.64665 - 1.41254i) q^{72} +(5.89272 - 3.40216i) q^{73} +(-6.19935 - 3.57920i) q^{74} +(-0.174124 - 0.313551i) q^{75} +(2.47987 + 1.43175i) q^{76} +(-0.128486 - 2.88902i) q^{77} +(5.74285 + 10.3414i) q^{78} -7.27248 q^{79} +(1.14095 + 1.97618i) q^{80} +(-5.00947 + 7.47698i) q^{81} +(-4.25245 - 2.45515i) q^{82} +(-2.91353 - 5.04638i) q^{83} +(4.58081 - 0.127243i) q^{84} +(7.66407 - 13.2746i) q^{85} +(-6.48214 + 3.74246i) q^{86} +(-0.0533331 + 3.19821i) q^{87} +(0.546514 - 0.946590i) q^{88} +(-8.99707 + 15.5834i) q^{89} +(-5.81113 - 3.61862i) q^{90} +(0.802809 + 18.0512i) q^{91} +(3.38264 - 1.95297i) q^{92} +(-3.00288 - 1.80113i) q^{93} -6.80349i q^{94} -6.53424i q^{95} +(1.48535 + 0.890915i) q^{96} +(-4.13903 + 2.38967i) q^{97} +(6.34895 + 2.94803i) q^{98} +(-0.109333 + 3.27726i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 16 q^{4} + 2 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 16 q^{4} + 2 q^{7} + 12 q^{11} + 6 q^{13} - 6 q^{14} - 18 q^{15} + 16 q^{16} - 18 q^{17} - 12 q^{18} - 12 q^{21} - 6 q^{23} - 8 q^{25} + 12 q^{26} + 36 q^{27} - 2 q^{28} + 6 q^{29} + 30 q^{35} - 2 q^{37} - 12 q^{39} - 6 q^{41} - 2 q^{43} - 12 q^{44} - 30 q^{45} + 6 q^{46} - 36 q^{47} - 8 q^{49} - 12 q^{50} + 6 q^{51} - 6 q^{52} - 36 q^{53} + 18 q^{54} + 6 q^{56} + 6 q^{57} + 6 q^{58} + 60 q^{59} + 18 q^{60} + 36 q^{62} + 36 q^{63} - 16 q^{64} + 24 q^{66} - 28 q^{67} + 18 q^{68} - 42 q^{69} - 18 q^{70} + 12 q^{72} + 18 q^{74} + 60 q^{75} - 42 q^{77} + 32 q^{79} - 36 q^{81} + 12 q^{84} - 12 q^{85} + 24 q^{86} - 24 q^{87} - 24 q^{89} + 18 q^{90} - 12 q^{91} + 6 q^{92} - 42 q^{93} + 6 q^{97} - 24 q^{98} + 18 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(73\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000i 0.707107i
\(3\) −0.890915 + 1.48535i −0.514370 + 0.857568i
\(4\) −1.00000 −0.500000
\(5\) 1.14095 + 1.97618i 0.510248 + 0.883776i 0.999929 + 0.0118746i \(0.00377989\pi\)
−0.489681 + 0.871902i \(0.662887\pi\)
\(6\) 1.48535 + 0.890915i 0.606392 + 0.363715i
\(7\) 1.42337 + 2.23025i 0.537984 + 0.842955i
\(8\) 1.00000i 0.353553i
\(9\) −1.41254 2.64665i −0.470846 0.882215i
\(10\) 1.97618 1.14095i 0.624924 0.360800i
\(11\) −0.946590 0.546514i −0.285408 0.164780i 0.350461 0.936577i \(-0.386025\pi\)
−0.635869 + 0.771797i \(0.719358\pi\)
\(12\) 0.890915 1.48535i 0.257185 0.428784i
\(13\) 5.91448 + 3.41473i 1.64038 + 0.947075i 0.980697 + 0.195533i \(0.0626436\pi\)
0.659685 + 0.751542i \(0.270690\pi\)
\(14\) 2.23025 1.42337i 0.596059 0.380412i
\(15\) −3.95182 0.0659003i −1.02036 0.0170154i
\(16\) 1.00000 0.250000
\(17\) −3.35863 5.81732i −0.814588 1.41091i −0.909623 0.415434i \(-0.863630\pi\)
0.0950352 0.995474i \(-0.469704\pi\)
\(18\) −2.64665 + 1.41254i −0.623820 + 0.332939i
\(19\) −2.47987 1.43175i −0.568922 0.328467i 0.187797 0.982208i \(-0.439865\pi\)
−0.756718 + 0.653741i \(0.773199\pi\)
\(20\) −1.14095 1.97618i −0.255124 0.441888i
\(21\) −4.58081 + 0.127243i −0.999614 + 0.0277668i
\(22\) −0.546514 + 0.946590i −0.116517 + 0.201814i
\(23\) −3.38264 + 1.95297i −0.705328 + 0.407221i −0.809329 0.587356i \(-0.800169\pi\)
0.104001 + 0.994577i \(0.466836\pi\)
\(24\) −1.48535 0.890915i −0.303196 0.181857i
\(25\) −0.103535 + 0.179327i −0.0207069 + 0.0358655i
\(26\) 3.41473 5.91448i 0.669683 1.15993i
\(27\) 5.18965 + 0.259820i 0.998749 + 0.0500023i
\(28\) −1.42337 2.23025i −0.268992 0.421478i
\(29\) 1.59933 0.923371i 0.296987 0.171466i −0.344101 0.938933i \(-0.611816\pi\)
0.641089 + 0.767467i \(0.278483\pi\)
\(30\) −0.0659003 + 3.95182i −0.0120317 + 0.721500i
\(31\) 2.02166i 0.363102i 0.983382 + 0.181551i \(0.0581117\pi\)
−0.983382 + 0.181551i \(0.941888\pi\)
\(32\) 1.00000i 0.176777i
\(33\) 1.65510 0.919121i 0.288115 0.159998i
\(34\) −5.81732 + 3.35863i −0.997663 + 0.576001i
\(35\) −2.78339 + 5.35745i −0.470478 + 0.905574i
\(36\) 1.41254 + 2.64665i 0.235423 + 0.441108i
\(37\) 3.57920 6.19935i 0.588416 1.01917i −0.406024 0.913863i \(-0.633085\pi\)
0.994440 0.105305i \(-0.0335818\pi\)
\(38\) −1.43175 + 2.47987i −0.232261 + 0.402288i
\(39\) −10.3414 + 5.74285i −1.65595 + 0.919592i
\(40\) −1.97618 + 1.14095i −0.312462 + 0.180400i
\(41\) 2.45515 4.25245i 0.383431 0.664121i −0.608120 0.793845i \(-0.708076\pi\)
0.991550 + 0.129724i \(0.0414092\pi\)
\(42\) 0.127243 + 4.58081i 0.0196341 + 0.706834i
\(43\) −3.74246 6.48214i −0.570721 0.988517i −0.996492 0.0836863i \(-0.973331\pi\)
0.425772 0.904831i \(-0.360003\pi\)
\(44\) 0.946590 + 0.546514i 0.142704 + 0.0823901i
\(45\) 3.61862 5.81113i 0.539432 0.866272i
\(46\) 1.95297 + 3.38264i 0.287949 + 0.498742i
\(47\) 6.80349 0.992391 0.496195 0.868211i \(-0.334730\pi\)
0.496195 + 0.868211i \(0.334730\pi\)
\(48\) −0.890915 + 1.48535i −0.128593 + 0.214392i
\(49\) −2.94803 + 6.34895i −0.421147 + 0.906992i
\(50\) 0.179327 + 0.103535i 0.0253607 + 0.0146420i
\(51\) 11.6330 + 0.193992i 1.62895 + 0.0271643i
\(52\) −5.91448 3.41473i −0.820191 0.473538i
\(53\) 0.222069 0.128212i 0.0305036 0.0176112i −0.484671 0.874697i \(-0.661061\pi\)
0.515174 + 0.857085i \(0.327727\pi\)
\(54\) 0.259820 5.18965i 0.0353570 0.706222i
\(55\) 2.49418i 0.336315i
\(56\) −2.23025 + 1.42337i −0.298030 + 0.190206i
\(57\) 4.33601 2.40791i 0.574319 0.318935i
\(58\) −0.923371 1.59933i −0.121245 0.210002i
\(59\) 1.94202 0.252829 0.126415 0.991977i \(-0.459653\pi\)
0.126415 + 0.991977i \(0.459653\pi\)
\(60\) 3.95182 + 0.0659003i 0.510178 + 0.00850769i
\(61\) 1.33154i 0.170486i 0.996360 + 0.0852432i \(0.0271667\pi\)
−0.996360 + 0.0852432i \(0.972833\pi\)
\(62\) 2.02166 0.256752
\(63\) 3.89211 6.91748i 0.490360 0.871520i
\(64\) −1.00000 −0.125000
\(65\) 15.5841i 1.93297i
\(66\) −0.919121 1.65510i −0.113136 0.203728i
\(67\) 5.09918 0.622964 0.311482 0.950252i \(-0.399175\pi\)
0.311482 + 0.950252i \(0.399175\pi\)
\(68\) 3.35863 + 5.81732i 0.407294 + 0.705454i
\(69\) 0.112802 6.76433i 0.0135797 0.814330i
\(70\) 5.35745 + 2.78339i 0.640337 + 0.332678i
\(71\) 0.233507i 0.0277121i −0.999904 0.0138561i \(-0.995589\pi\)
0.999904 0.0138561i \(-0.00441066\pi\)
\(72\) 2.64665 1.41254i 0.311910 0.166469i
\(73\) 5.89272 3.40216i 0.689690 0.398193i −0.113806 0.993503i \(-0.536304\pi\)
0.803496 + 0.595310i \(0.202971\pi\)
\(74\) −6.19935 3.57920i −0.720660 0.416073i
\(75\) −0.174124 0.313551i −0.0201061 0.0362058i
\(76\) 2.47987 + 1.43175i 0.284461 + 0.164233i
\(77\) −0.128486 2.88902i −0.0146424 0.329235i
\(78\) 5.74285 + 10.3414i 0.650250 + 1.17093i
\(79\) −7.27248 −0.818218 −0.409109 0.912485i \(-0.634161\pi\)
−0.409109 + 0.912485i \(0.634161\pi\)
\(80\) 1.14095 + 1.97618i 0.127562 + 0.220944i
\(81\) −5.00947 + 7.47698i −0.556607 + 0.830776i
\(82\) −4.25245 2.45515i −0.469605 0.271126i
\(83\) −2.91353 5.04638i −0.319801 0.553912i 0.660645 0.750698i \(-0.270283\pi\)
−0.980446 + 0.196786i \(0.936950\pi\)
\(84\) 4.58081 0.127243i 0.499807 0.0138834i
\(85\) 7.66407 13.2746i 0.831285 1.43983i
\(86\) −6.48214 + 3.74246i −0.698987 + 0.403560i
\(87\) −0.0533331 + 3.19821i −0.00571791 + 0.342884i
\(88\) 0.546514 0.946590i 0.0582586 0.100907i
\(89\) −8.99707 + 15.5834i −0.953687 + 1.65184i −0.216344 + 0.976317i \(0.569413\pi\)
−0.737344 + 0.675518i \(0.763920\pi\)
\(90\) −5.81113 3.61862i −0.612547 0.381436i
\(91\) 0.802809 + 18.0512i 0.0841573 + 1.89228i
\(92\) 3.38264 1.95297i 0.352664 0.203611i
\(93\) −3.00288 1.80113i −0.311384 0.186769i
\(94\) 6.80349i 0.701726i
\(95\) 6.53424i 0.670399i
\(96\) 1.48535 + 0.890915i 0.151598 + 0.0909287i
\(97\) −4.13903 + 2.38967i −0.420255 + 0.242634i −0.695186 0.718830i \(-0.744678\pi\)
0.274931 + 0.961464i \(0.411345\pi\)
\(98\) 6.34895 + 2.94803i 0.641341 + 0.297796i
\(99\) −0.109333 + 3.27726i −0.0109884 + 0.329377i
\(100\) 0.103535 0.179327i 0.0103535 0.0179327i
\(101\) −5.22981 + 9.05829i −0.520385 + 0.901334i 0.479334 + 0.877633i \(0.340878\pi\)
−0.999719 + 0.0237012i \(0.992455\pi\)
\(102\) 0.193992 11.6330i 0.0192080 1.15184i
\(103\) −11.0398 + 6.37383i −1.08778 + 0.628033i −0.932986 0.359914i \(-0.882806\pi\)
−0.154799 + 0.987946i \(0.549473\pi\)
\(104\) −3.41473 + 5.91448i −0.334842 + 0.579963i
\(105\) −5.47793 8.90734i −0.534591 0.869268i
\(106\) −0.128212 0.222069i −0.0124530 0.0215693i
\(107\) 8.25865 + 4.76813i 0.798394 + 0.460953i 0.842909 0.538056i \(-0.180841\pi\)
−0.0445153 + 0.999009i \(0.514174\pi\)
\(108\) −5.18965 0.259820i −0.499375 0.0250012i
\(109\) −2.88251 4.99266i −0.276095 0.478210i 0.694316 0.719670i \(-0.255707\pi\)
−0.970411 + 0.241460i \(0.922374\pi\)
\(110\) −2.49418 −0.237811
\(111\) 6.01946 + 10.8395i 0.571341 + 1.02884i
\(112\) 1.42337 + 2.23025i 0.134496 + 0.210739i
\(113\) −10.3333 5.96592i −0.972073 0.561227i −0.0722053 0.997390i \(-0.523004\pi\)
−0.899868 + 0.436163i \(0.856337\pi\)
\(114\) −2.40791 4.33601i −0.225521 0.406105i
\(115\) −7.71884 4.45647i −0.719785 0.415568i
\(116\) −1.59933 + 0.923371i −0.148494 + 0.0857329i
\(117\) 0.683135 20.4770i 0.0631559 1.89310i
\(118\) 1.94202i 0.178777i
\(119\) 8.19350 15.7708i 0.751097 1.44571i
\(120\) 0.0659003 3.95182i 0.00601584 0.360750i
\(121\) −4.90265 8.49163i −0.445695 0.771966i
\(122\) 1.33154 0.120552
\(123\) 4.12905 + 7.43534i 0.372304 + 0.670422i
\(124\) 2.02166i 0.181551i
\(125\) 10.9370 0.978234
\(126\) −6.91748 3.89211i −0.616258 0.346737i
\(127\) −10.9133 −0.968400 −0.484200 0.874957i \(-0.660889\pi\)
−0.484200 + 0.874957i \(0.660889\pi\)
\(128\) 1.00000i 0.0883883i
\(129\) 12.9625 + 0.216161i 1.14128 + 0.0190320i
\(130\) 15.5841 1.36682
\(131\) 0.989677 + 1.71417i 0.0864684 + 0.149768i 0.906016 0.423243i \(-0.139108\pi\)
−0.819548 + 0.573011i \(0.805775\pi\)
\(132\) −1.65510 + 0.919121i −0.144058 + 0.0799992i
\(133\) −0.336608 7.56865i −0.0291876 0.656285i
\(134\) 5.09918i 0.440502i
\(135\) 5.40768 + 10.5521i 0.465419 + 0.908184i
\(136\) 5.81732 3.35863i 0.498831 0.288000i
\(137\) 2.86923 + 1.65655i 0.245135 + 0.141528i 0.617534 0.786544i \(-0.288132\pi\)
−0.372400 + 0.928072i \(0.621465\pi\)
\(138\) −6.76433 0.112802i −0.575818 0.00960230i
\(139\) −3.00698 1.73608i −0.255048 0.147252i 0.367025 0.930211i \(-0.380376\pi\)
−0.622074 + 0.782959i \(0.713710\pi\)
\(140\) 2.78339 5.35745i 0.235239 0.452787i
\(141\) −6.06133 + 10.1056i −0.510456 + 0.851043i
\(142\) −0.233507 −0.0195954
\(143\) −3.73239 6.46469i −0.312118 0.540605i
\(144\) −1.41254 2.64665i −0.117712 0.220554i
\(145\) 3.64950 + 2.10704i 0.303075 + 0.174980i
\(146\) −3.40216 5.89272i −0.281565 0.487685i
\(147\) −6.80398 10.0352i −0.561183 0.827692i
\(148\) −3.57920 + 6.19935i −0.294208 + 0.509584i
\(149\) −11.5534 + 6.67036i −0.946492 + 0.546457i −0.891989 0.452056i \(-0.850691\pi\)
−0.0545027 + 0.998514i \(0.517357\pi\)
\(150\) −0.313551 + 0.174124i −0.0256013 + 0.0142171i
\(151\) 2.66995 4.62450i 0.217278 0.376336i −0.736697 0.676223i \(-0.763616\pi\)
0.953975 + 0.299887i \(0.0969489\pi\)
\(152\) 1.43175 2.47987i 0.116131 0.201144i
\(153\) −10.6522 + 17.1063i −0.861179 + 1.38296i
\(154\) −2.88902 + 0.128486i −0.232804 + 0.0103537i
\(155\) −3.99518 + 2.30662i −0.320901 + 0.185272i
\(156\) 10.3414 5.74285i 0.827973 0.459796i
\(157\) 17.6673i 1.41000i 0.709206 + 0.705002i \(0.249054\pi\)
−0.709206 + 0.705002i \(0.750946\pi\)
\(158\) 7.27248i 0.578568i
\(159\) −0.00740540 + 0.444077i −0.000587286 + 0.0352176i
\(160\) 1.97618 1.14095i 0.156231 0.0902000i
\(161\) −9.17035 4.76433i −0.722725 0.375481i
\(162\) 7.47698 + 5.00947i 0.587447 + 0.393581i
\(163\) 7.94915 13.7683i 0.622625 1.07842i −0.366370 0.930469i \(-0.619400\pi\)
0.988995 0.147949i \(-0.0472672\pi\)
\(164\) −2.45515 + 4.25245i −0.191715 + 0.332061i
\(165\) 3.70474 + 2.22210i 0.288413 + 0.172991i
\(166\) −5.04638 + 2.91353i −0.391675 + 0.226134i
\(167\) 2.85878 4.95155i 0.221219 0.383163i −0.733959 0.679193i \(-0.762330\pi\)
0.955178 + 0.296031i \(0.0956631\pi\)
\(168\) −0.127243 4.58081i −0.00981703 0.353417i
\(169\) 16.8207 + 29.1344i 1.29390 + 2.24110i
\(170\) −13.2746 7.66407i −1.01811 0.587807i
\(171\) −0.286431 + 8.58575i −0.0219039 + 0.656569i
\(172\) 3.74246 + 6.48214i 0.285360 + 0.494258i
\(173\) 15.2052 1.15603 0.578013 0.816027i \(-0.303828\pi\)
0.578013 + 0.816027i \(0.303828\pi\)
\(174\) 3.19821 + 0.0533331i 0.242456 + 0.00404317i
\(175\) −0.547313 + 0.0243412i −0.0413730 + 0.00184002i
\(176\) −0.946590 0.546514i −0.0713519 0.0411950i
\(177\) −1.73017 + 2.88458i −0.130048 + 0.216818i
\(178\) 15.5834 + 8.99707i 1.16802 + 0.674359i
\(179\) 3.51582 2.02986i 0.262785 0.151719i −0.362819 0.931859i \(-0.618186\pi\)
0.625604 + 0.780141i \(0.284852\pi\)
\(180\) −3.61862 + 5.81113i −0.269716 + 0.433136i
\(181\) 3.68452i 0.273869i −0.990580 0.136934i \(-0.956275\pi\)
0.990580 0.136934i \(-0.0437249\pi\)
\(182\) 18.0512 0.802809i 1.33804 0.0595082i
\(183\) −1.97781 1.18629i −0.146204 0.0876931i
\(184\) −1.95297 3.38264i −0.143975 0.249371i
\(185\) 16.3347 1.20095
\(186\) −1.80113 + 3.00288i −0.132065 + 0.220182i
\(187\) 7.34216i 0.536912i
\(188\) −6.80349 −0.496195
\(189\) 6.80734 + 11.9440i 0.495161 + 0.868801i
\(190\) −6.53424 −0.474044
\(191\) 25.7989i 1.86674i −0.358916 0.933370i \(-0.616854\pi\)
0.358916 0.933370i \(-0.383146\pi\)
\(192\) 0.890915 1.48535i 0.0642963 0.107196i
\(193\) −9.28662 −0.668466 −0.334233 0.942491i \(-0.608477\pi\)
−0.334233 + 0.942491i \(0.608477\pi\)
\(194\) 2.38967 + 4.13903i 0.171568 + 0.297165i
\(195\) −23.1479 13.8841i −1.65766 0.994265i
\(196\) 2.94803 6.34895i 0.210573 0.453496i
\(197\) 5.86237i 0.417677i 0.977950 + 0.208838i \(0.0669683\pi\)
−0.977950 + 0.208838i \(0.933032\pi\)
\(198\) 3.27726 + 0.109333i 0.232905 + 0.00776997i
\(199\) −13.9117 + 8.03191i −0.986173 + 0.569367i −0.904128 0.427262i \(-0.859478\pi\)
−0.0820447 + 0.996629i \(0.526145\pi\)
\(200\) −0.179327 0.103535i −0.0126804 0.00732101i
\(201\) −4.54294 + 7.57408i −0.320434 + 0.534234i
\(202\) 9.05829 + 5.22981i 0.637339 + 0.367968i
\(203\) 4.33578 + 2.25260i 0.304312 + 0.158101i
\(204\) −11.6330 0.193992i −0.814475 0.0135821i
\(205\) 11.2048 0.782579
\(206\) 6.37383 + 11.0398i 0.444086 + 0.769180i
\(207\) 9.94691 + 6.19400i 0.691358 + 0.430512i
\(208\) 5.91448 + 3.41473i 0.410096 + 0.236769i
\(209\) 1.56495 + 2.71057i 0.108250 + 0.187494i
\(210\) −8.90734 + 5.47793i −0.614665 + 0.378013i
\(211\) 12.3741 21.4325i 0.851867 1.47548i −0.0276550 0.999618i \(-0.508804\pi\)
0.879522 0.475859i \(-0.157863\pi\)
\(212\) −0.222069 + 0.128212i −0.0152518 + 0.00880562i
\(213\) 0.346839 + 0.208035i 0.0237650 + 0.0142543i
\(214\) 4.76813 8.25865i 0.325943 0.564550i
\(215\) 8.53993 14.7916i 0.582419 1.00878i
\(216\) −0.259820 + 5.18965i −0.0176785 + 0.353111i
\(217\) −4.50882 + 2.87758i −0.306078 + 0.195343i
\(218\) −4.99266 + 2.88251i −0.338146 + 0.195228i
\(219\) −0.196506 + 11.7838i −0.0132786 + 0.796275i
\(220\) 2.49418i 0.168158i
\(221\) 45.8753i 3.08590i
\(222\) 10.8395 6.01946i 0.727497 0.403999i
\(223\) 3.20041 1.84776i 0.214315 0.123735i −0.389000 0.921238i \(-0.627179\pi\)
0.603315 + 0.797503i \(0.293846\pi\)
\(224\) 2.23025 1.42337i 0.149015 0.0951030i
\(225\) 0.620863 + 0.0207127i 0.0413909 + 0.00138085i
\(226\) −5.96592 + 10.3333i −0.396847 + 0.687359i
\(227\) 2.30549 3.99322i 0.153020 0.265039i −0.779316 0.626631i \(-0.784433\pi\)
0.932336 + 0.361592i \(0.117767\pi\)
\(228\) −4.33601 + 2.40791i −0.287160 + 0.159468i
\(229\) −13.8220 + 7.98016i −0.913386 + 0.527344i −0.881519 0.472148i \(-0.843479\pi\)
−0.0318672 + 0.999492i \(0.510145\pi\)
\(230\) −4.45647 + 7.71884i −0.293851 + 0.508965i
\(231\) 4.40569 + 2.38303i 0.289873 + 0.156792i
\(232\) 0.923371 + 1.59933i 0.0606223 + 0.105001i
\(233\) −6.17609 3.56577i −0.404609 0.233601i 0.283862 0.958865i \(-0.408384\pi\)
−0.688471 + 0.725264i \(0.741718\pi\)
\(234\) −20.4770 0.683135i −1.33862 0.0446580i
\(235\) 7.76244 + 13.4449i 0.506366 + 0.877051i
\(236\) −1.94202 −0.126415
\(237\) 6.47917 10.8022i 0.420867 0.701678i
\(238\) −15.7708 8.19350i −1.02227 0.531106i
\(239\) 13.6219 + 7.86462i 0.881129 + 0.508720i 0.871031 0.491229i \(-0.163452\pi\)
0.0100987 + 0.999949i \(0.496785\pi\)
\(240\) −3.95182 0.0659003i −0.255089 0.00425384i
\(241\) 1.39292 + 0.804201i 0.0897257 + 0.0518031i 0.544191 0.838961i \(-0.316837\pi\)
−0.454466 + 0.890764i \(0.650170\pi\)
\(242\) −8.49163 + 4.90265i −0.545863 + 0.315154i
\(243\) −6.64294 14.1022i −0.426145 0.904655i
\(244\) 1.33154i 0.0852432i
\(245\) −15.9102 + 1.41799i −1.01647 + 0.0905920i
\(246\) 7.43534 4.12905i 0.474060 0.263259i
\(247\) −9.77810 16.9362i −0.622166 1.07762i
\(248\) −2.02166 −0.128376
\(249\) 10.0914 + 0.168283i 0.639514 + 0.0106645i
\(250\) 10.9370i 0.691716i
\(251\) −18.3728 −1.15968 −0.579841 0.814729i \(-0.696885\pi\)
−0.579841 + 0.814729i \(0.696885\pi\)
\(252\) −3.89211 + 6.91748i −0.245180 + 0.435760i
\(253\) 4.26929 0.268408
\(254\) 10.9133i 0.684762i
\(255\) 12.8893 + 23.2103i 0.807162 + 1.45349i
\(256\) 1.00000 0.0625000
\(257\) 8.73678 + 15.1326i 0.544986 + 0.943943i 0.998608 + 0.0527487i \(0.0167982\pi\)
−0.453622 + 0.891194i \(0.649868\pi\)
\(258\) 0.216161 12.9625i 0.0134576 0.807009i
\(259\) 18.9206 0.841476i 1.17567 0.0522868i
\(260\) 15.5841i 0.966487i
\(261\) −4.70295 2.92855i −0.291105 0.181273i
\(262\) 1.71417 0.989677i 0.105902 0.0611424i
\(263\) 23.9148 + 13.8072i 1.47465 + 0.851389i 0.999592 0.0285666i \(-0.00909427\pi\)
0.475057 + 0.879955i \(0.342428\pi\)
\(264\) 0.919121 + 1.65510i 0.0565680 + 0.101864i
\(265\) 0.506740 + 0.292567i 0.0311288 + 0.0179722i
\(266\) −7.56865 + 0.336608i −0.464064 + 0.0206388i
\(267\) −15.1312 27.2473i −0.926013 1.66751i
\(268\) −5.09918 −0.311482
\(269\) −3.38607 5.86484i −0.206452 0.357586i 0.744142 0.668021i \(-0.232858\pi\)
−0.950594 + 0.310435i \(0.899525\pi\)
\(270\) 10.5521 5.40768i 0.642183 0.329101i
\(271\) 7.23822 + 4.17899i 0.439691 + 0.253856i 0.703466 0.710729i \(-0.251635\pi\)
−0.263776 + 0.964584i \(0.584968\pi\)
\(272\) −3.35863 5.81732i −0.203647 0.352727i
\(273\) −27.5276 14.8896i −1.66605 0.901162i
\(274\) 1.65655 2.86923i 0.100076 0.173336i
\(275\) 0.196010 0.113166i 0.0118198 0.00682419i
\(276\) −0.112802 + 6.76433i −0.00678985 + 0.407165i
\(277\) 8.10617 14.0403i 0.487053 0.843600i −0.512837 0.858486i \(-0.671405\pi\)
0.999889 + 0.0148865i \(0.00473868\pi\)
\(278\) −1.73608 + 3.00698i −0.104123 + 0.180346i
\(279\) 5.35063 2.85568i 0.320334 0.170965i
\(280\) −5.35745 2.78339i −0.320169 0.166339i
\(281\) −25.3352 + 14.6273i −1.51137 + 0.872590i −0.511458 + 0.859308i \(0.670895\pi\)
−0.999912 + 0.0132818i \(0.995772\pi\)
\(282\) 10.1056 + 6.06133i 0.601778 + 0.360947i
\(283\) 1.43448i 0.0852712i −0.999091 0.0426356i \(-0.986425\pi\)
0.999091 0.0426356i \(-0.0135754\pi\)
\(284\) 0.233507i 0.0138561i
\(285\) 9.70565 + 5.82146i 0.574913 + 0.344833i
\(286\) −6.46469 + 3.73239i −0.382265 + 0.220701i
\(287\) 12.9786 0.577211i 0.766104 0.0340717i
\(288\) −2.64665 + 1.41254i −0.155955 + 0.0832347i
\(289\) −14.0608 + 24.3541i −0.827108 + 1.43259i
\(290\) 2.10704 3.64950i 0.123730 0.214306i
\(291\) 0.138025 8.27691i 0.00809118 0.485201i
\(292\) −5.89272 + 3.40216i −0.344845 + 0.199096i
\(293\) −10.8260 + 18.7511i −0.632459 + 1.09545i 0.354588 + 0.935023i \(0.384621\pi\)
−0.987047 + 0.160429i \(0.948712\pi\)
\(294\) −10.0352 + 6.80398i −0.585267 + 0.396816i
\(295\) 2.21575 + 3.83779i 0.129006 + 0.223444i
\(296\) 6.19935 + 3.57920i 0.360330 + 0.208037i
\(297\) −4.77048 3.08216i −0.276811 0.178845i
\(298\) 6.67036 + 11.5534i 0.386404 + 0.669271i
\(299\) −26.6754 −1.54268
\(300\) 0.174124 + 0.313551i 0.0100530 + 0.0181029i
\(301\) 9.12987 17.5731i 0.526237 1.01290i
\(302\) −4.62450 2.66995i −0.266110 0.153639i
\(303\) −8.79544 15.8383i −0.505285 0.909885i
\(304\) −2.47987 1.43175i −0.142230 0.0821167i
\(305\) −2.63137 + 1.51922i −0.150672 + 0.0869904i
\(306\) 17.1063 + 10.6522i 0.977903 + 0.608945i
\(307\) 13.4732i 0.768957i −0.923134 0.384479i \(-0.874381\pi\)
0.923134 0.384479i \(-0.125619\pi\)
\(308\) 0.128486 + 2.88902i 0.00732120 + 0.164617i
\(309\) 0.368147 22.0765i 0.0209432 1.25589i
\(310\) 2.30662 + 3.99518i 0.131007 + 0.226911i
\(311\) −28.7338 −1.62934 −0.814672 0.579922i \(-0.803083\pi\)
−0.814672 + 0.579922i \(0.803083\pi\)
\(312\) −5.74285 10.3414i −0.325125 0.585465i
\(313\) 23.6293i 1.33561i −0.744337 0.667805i \(-0.767234\pi\)
0.744337 0.667805i \(-0.232766\pi\)
\(314\) 17.6673 0.997023
\(315\) 18.1109 0.200966i 1.02043 0.0113231i
\(316\) 7.27248 0.409109
\(317\) 0.877680i 0.0492954i 0.999696 + 0.0246477i \(0.00784641\pi\)
−0.999696 + 0.0246477i \(0.992154\pi\)
\(318\) 0.444077 + 0.00740540i 0.0249026 + 0.000415274i
\(319\) −2.01854 −0.113017
\(320\) −1.14095 1.97618i −0.0637811 0.110472i
\(321\) −14.4401 + 8.01900i −0.805969 + 0.447577i
\(322\) −4.76433 + 9.17035i −0.265505 + 0.511043i
\(323\) 19.2349i 1.07026i
\(324\) 5.00947 7.47698i 0.278304 0.415388i
\(325\) −1.22471 + 0.707086i −0.0679346 + 0.0392221i
\(326\) −13.7683 7.94915i −0.762557 0.440262i
\(327\) 9.98393 + 0.166491i 0.552113 + 0.00920700i
\(328\) 4.25245 + 2.45515i 0.234802 + 0.135563i
\(329\) 9.68389 + 15.1735i 0.533890 + 0.836541i
\(330\) 2.22210 3.70474i 0.122323 0.203939i
\(331\) −20.1830 −1.10936 −0.554680 0.832064i \(-0.687159\pi\)
−0.554680 + 0.832064i \(0.687159\pi\)
\(332\) 2.91353 + 5.04638i 0.159901 + 0.276956i
\(333\) −21.4632 0.716039i −1.17618 0.0392387i
\(334\) −4.95155 2.85878i −0.270937 0.156425i
\(335\) 5.81791 + 10.0769i 0.317866 + 0.550561i
\(336\) −4.58081 + 0.127243i −0.249904 + 0.00694169i
\(337\) 0.757605 1.31221i 0.0412694 0.0714807i −0.844653 0.535314i \(-0.820193\pi\)
0.885922 + 0.463834i \(0.153526\pi\)
\(338\) 29.1344 16.8207i 1.58470 0.914927i
\(339\) 18.0676 10.0334i 0.981295 0.544941i
\(340\) −7.66407 + 13.2746i −0.415642 + 0.719914i
\(341\) 1.10487 1.91369i 0.0598319 0.103632i
\(342\) 8.58575 + 0.286431i 0.464264 + 0.0154884i
\(343\) −18.3559 + 2.46207i −0.991124 + 0.132939i
\(344\) 6.48214 3.74246i 0.349494 0.201780i
\(345\) 13.4963 7.49485i 0.726614 0.403509i
\(346\) 15.2052i 0.817434i
\(347\) 36.0985i 1.93787i 0.247320 + 0.968934i \(0.420450\pi\)
−0.247320 + 0.968934i \(0.579550\pi\)
\(348\) 0.0533331 3.19821i 0.00285895 0.171442i
\(349\) −16.7962 + 9.69727i −0.899078 + 0.519083i −0.876901 0.480671i \(-0.840393\pi\)
−0.0221769 + 0.999754i \(0.507060\pi\)
\(350\) 0.0243412 + 0.547313i 0.00130109 + 0.0292551i
\(351\) 29.8069 + 19.2579i 1.59097 + 1.02791i
\(352\) −0.546514 + 0.946590i −0.0291293 + 0.0504534i
\(353\) 2.01909 3.49717i 0.107465 0.186136i −0.807277 0.590172i \(-0.799060\pi\)
0.914743 + 0.404037i \(0.132393\pi\)
\(354\) 2.88458 + 1.73017i 0.153314 + 0.0919577i
\(355\) 0.461452 0.266419i 0.0244913 0.0141401i
\(356\) 8.99707 15.5834i 0.476844 0.825918i
\(357\) 16.1255 + 26.2207i 0.853450 + 1.38775i
\(358\) −2.02986 3.51582i −0.107281 0.185817i
\(359\) 21.2649 + 12.2773i 1.12232 + 0.647970i 0.941991 0.335637i \(-0.108952\pi\)
0.180326 + 0.983607i \(0.442285\pi\)
\(360\) 5.81113 + 3.61862i 0.306273 + 0.190718i
\(361\) −5.40016 9.35335i −0.284219 0.492282i
\(362\) −3.68452 −0.193654
\(363\) 16.9809 + 0.283172i 0.891266 + 0.0148627i
\(364\) −0.802809 18.0512i −0.0420786 0.946140i
\(365\) 13.4466 + 7.76339i 0.703827 + 0.406354i
\(366\) −1.18629 + 1.97781i −0.0620084 + 0.103382i
\(367\) −6.28109 3.62639i −0.327870 0.189296i 0.327025 0.945016i \(-0.393954\pi\)
−0.654895 + 0.755720i \(0.727287\pi\)
\(368\) −3.38264 + 1.95297i −0.176332 + 0.101805i
\(369\) −14.7227 0.491167i −0.766435 0.0255691i
\(370\) 16.3347i 0.849203i
\(371\) 0.602031 + 0.312777i 0.0312559 + 0.0162386i
\(372\) 3.00288 + 1.80113i 0.155692 + 0.0933843i
\(373\) 14.8921 + 25.7939i 0.771083 + 1.33556i 0.936970 + 0.349410i \(0.113618\pi\)
−0.165887 + 0.986145i \(0.553049\pi\)
\(374\) 7.34216 0.379654
\(375\) −9.74393 + 16.2453i −0.503175 + 0.838902i
\(376\) 6.80349i 0.350863i
\(377\) 12.6122 0.649564
\(378\) 11.9440 6.80734i 0.614335 0.350132i
\(379\) 6.11280 0.313993 0.156997 0.987599i \(-0.449819\pi\)
0.156997 + 0.987599i \(0.449819\pi\)
\(380\) 6.53424i 0.335200i
\(381\) 9.72284 16.2101i 0.498116 0.830469i
\(382\) −25.7989 −1.31998
\(383\) −16.2451 28.1374i −0.830088 1.43775i −0.897968 0.440061i \(-0.854957\pi\)
0.0678797 0.997694i \(-0.478377\pi\)
\(384\) −1.48535 0.890915i −0.0757990 0.0454643i
\(385\) 5.56265 3.55015i 0.283499 0.180932i
\(386\) 9.28662i 0.472677i
\(387\) −11.8695 + 19.0613i −0.603363 + 0.968938i
\(388\) 4.13903 2.38967i 0.210127 0.121317i
\(389\) 1.80316 + 1.04105i 0.0914236 + 0.0527834i 0.545015 0.838426i \(-0.316524\pi\)
−0.453591 + 0.891210i \(0.649857\pi\)
\(390\) −13.8841 + 23.1479i −0.703051 + 1.17214i
\(391\) 22.7221 + 13.1186i 1.14910 + 0.663435i
\(392\) −6.34895 2.94803i −0.320670 0.148898i
\(393\) −3.42786 0.0571628i −0.172913 0.00288348i
\(394\) 5.86237 0.295342
\(395\) −8.29754 14.3718i −0.417495 0.723122i
\(396\) 0.109333 3.27726i 0.00549420 0.164689i
\(397\) 16.3994 + 9.46822i 0.823064 + 0.475196i 0.851472 0.524400i \(-0.175710\pi\)
−0.0284077 + 0.999596i \(0.509044\pi\)
\(398\) 8.03191 + 13.9117i 0.402603 + 0.697329i
\(399\) 11.5420 + 6.24305i 0.577823 + 0.312543i
\(400\) −0.103535 + 0.179327i −0.00517674 + 0.00896637i
\(401\) 3.35718 1.93827i 0.167650 0.0967926i −0.413827 0.910355i \(-0.635808\pi\)
0.581477 + 0.813563i \(0.302475\pi\)
\(402\) 7.57408 + 4.54294i 0.377761 + 0.226581i
\(403\) −6.90343 + 11.9571i −0.343884 + 0.595625i
\(404\) 5.22981 9.05829i 0.260193 0.450667i
\(405\) −20.4914 1.36876i −1.01823 0.0680142i
\(406\) 2.25260 4.33578i 0.111794 0.215181i
\(407\) −6.77606 + 3.91216i −0.335877 + 0.193919i
\(408\) −0.193992 + 11.6330i −0.00960402 + 0.575921i
\(409\) 16.1988i 0.800979i −0.916301 0.400490i \(-0.868840\pi\)
0.916301 0.400490i \(-0.131160\pi\)
\(410\) 11.2048i 0.553367i
\(411\) −5.01680 + 2.78597i −0.247460 + 0.137422i
\(412\) 11.0398 6.37383i 0.543892 0.314016i
\(413\) 2.76421 + 4.33119i 0.136018 + 0.213124i
\(414\) 6.19400 9.94691i 0.304418 0.488864i
\(415\) 6.64838 11.5153i 0.326356 0.565266i
\(416\) 3.41473 5.91448i 0.167421 0.289981i
\(417\) 5.25765 2.91972i 0.257468 0.142979i
\(418\) 2.71057 1.56495i 0.132578 0.0765441i
\(419\) −1.63790 + 2.83692i −0.0800165 + 0.138593i −0.903257 0.429100i \(-0.858831\pi\)
0.823240 + 0.567693i \(0.192164\pi\)
\(420\) 5.47793 + 8.90734i 0.267296 + 0.434634i
\(421\) −0.844823 1.46328i −0.0411741 0.0713157i 0.844704 0.535234i \(-0.179777\pi\)
−0.885878 + 0.463918i \(0.846443\pi\)
\(422\) −21.4325 12.3741i −1.04332 0.602361i
\(423\) −9.61019 18.0064i −0.467264 0.875502i
\(424\) 0.128212 + 0.222069i 0.00622651 + 0.0107846i
\(425\) 1.39094 0.0674705
\(426\) 0.208035 0.346839i 0.0100793 0.0168044i
\(427\) −2.96967 + 1.89528i −0.143712 + 0.0917189i
\(428\) −8.25865 4.76813i −0.399197 0.230476i
\(429\) 12.9276 + 0.215580i 0.624150 + 0.0104083i
\(430\) −14.7916 8.53993i −0.713314 0.411832i
\(431\) 0.0157083 0.00906921i 0.000756644 0.000436848i −0.499622 0.866244i \(-0.666528\pi\)
0.500378 + 0.865807i \(0.333194\pi\)
\(432\) 5.18965 + 0.259820i 0.249687 + 0.0125006i
\(433\) 5.36964i 0.258048i 0.991641 + 0.129024i \(0.0411845\pi\)
−0.991641 + 0.129024i \(0.958815\pi\)
\(434\) 2.87758 + 4.50882i 0.138128 + 0.216430i
\(435\) −6.38110 + 3.54360i −0.305950 + 0.169903i
\(436\) 2.88251 + 4.99266i 0.138047 + 0.239105i
\(437\) 11.1847 0.535035
\(438\) 11.7838 + 0.196506i 0.563051 + 0.00938941i
\(439\) 21.8401i 1.04237i −0.853443 0.521186i \(-0.825490\pi\)
0.853443 0.521186i \(-0.174510\pi\)
\(440\) 2.49418 0.118905
\(441\) 20.9676 1.16575i 0.998458 0.0555121i
\(442\) −45.8753 −2.18206
\(443\) 2.09931i 0.0997413i −0.998756 0.0498707i \(-0.984119\pi\)
0.998756 0.0498707i \(-0.0158809\pi\)
\(444\) −6.01946 10.8395i −0.285671 0.514418i
\(445\) −41.0608 −1.94647
\(446\) −1.84776 3.20041i −0.0874938 0.151544i
\(447\) 0.385274 23.1036i 0.0182228 1.09276i
\(448\) −1.42337 2.23025i −0.0672480 0.105369i
\(449\) 27.1356i 1.28061i −0.768122 0.640303i \(-0.778809\pi\)
0.768122 0.640303i \(-0.221191\pi\)
\(450\) 0.0207127 0.620863i 0.000976406 0.0292678i
\(451\) −4.64805 + 2.68355i −0.218868 + 0.126364i
\(452\) 10.3333 + 5.96592i 0.486036 + 0.280613i
\(453\) 4.49030 + 8.08586i 0.210973 + 0.379907i
\(454\) −3.99322 2.30549i −0.187411 0.108202i
\(455\) −34.7565 + 22.1820i −1.62941 + 1.03991i
\(456\) 2.40791 + 4.33601i 0.112761 + 0.203052i
\(457\) 8.43196 0.394431 0.197215 0.980360i \(-0.436810\pi\)
0.197215 + 0.980360i \(0.436810\pi\)
\(458\) 7.98016 + 13.8220i 0.372888 + 0.645862i
\(459\) −15.9187 31.0625i −0.743020 1.44987i
\(460\) 7.71884 + 4.45647i 0.359893 + 0.207784i
\(461\) 4.67153 + 8.09133i 0.217575 + 0.376851i 0.954066 0.299596i \(-0.0968520\pi\)
−0.736491 + 0.676447i \(0.763519\pi\)
\(462\) 2.38303 4.40569i 0.110869 0.204971i
\(463\) −12.7281 + 22.0458i −0.591526 + 1.02455i 0.402501 + 0.915420i \(0.368141\pi\)
−0.994027 + 0.109134i \(0.965192\pi\)
\(464\) 1.59933 0.923371i 0.0742469 0.0428664i
\(465\) 0.133228 7.98925i 0.00617831 0.370493i
\(466\) −3.56577 + 6.17609i −0.165181 + 0.286102i
\(467\) −10.3199 + 17.8746i −0.477547 + 0.827136i −0.999669 0.0257351i \(-0.991807\pi\)
0.522122 + 0.852871i \(0.325141\pi\)
\(468\) −0.683135 + 20.4770i −0.0315779 + 0.946548i
\(469\) 7.25803 + 11.3724i 0.335145 + 0.525131i
\(470\) 13.4449 7.76244i 0.620169 0.358055i
\(471\) −26.2421 15.7401i −1.20917 0.725264i
\(472\) 1.94202i 0.0893886i
\(473\) 8.18124i 0.376174i
\(474\) −10.8022 6.47917i −0.496161 0.297598i
\(475\) 0.513506 0.296473i 0.0235613 0.0136031i
\(476\) −8.19350 + 15.7708i −0.375548 + 0.722853i
\(477\) −0.653013 0.406635i −0.0298994 0.0186185i
\(478\) 7.86462 13.6219i 0.359720 0.623053i
\(479\) 3.07442 5.32505i 0.140474 0.243308i −0.787201 0.616696i \(-0.788471\pi\)
0.927675 + 0.373388i \(0.121804\pi\)
\(480\) −0.0659003 + 3.95182i −0.00300792 + 0.180375i
\(481\) 42.3382 24.4440i 1.93046 1.11455i
\(482\) 0.804201 1.39292i 0.0366303 0.0634456i
\(483\) 15.2467 9.37658i 0.693749 0.426649i
\(484\) 4.90265 + 8.49163i 0.222848 + 0.385983i
\(485\) −9.44486 5.45299i −0.428869 0.247608i
\(486\) −14.1022 + 6.64294i −0.639688 + 0.301330i
\(487\) −9.86365 17.0843i −0.446965 0.774166i 0.551222 0.834359i \(-0.314162\pi\)
−0.998187 + 0.0601930i \(0.980828\pi\)
\(488\) −1.33154 −0.0602760
\(489\) 13.3688 + 24.0737i 0.604557 + 1.08865i
\(490\) 1.41799 + 15.9102i 0.0640582 + 0.718751i
\(491\) 3.42935 + 1.97994i 0.154764 + 0.0893533i 0.575382 0.817885i \(-0.304853\pi\)
−0.420618 + 0.907238i \(0.638187\pi\)
\(492\) −4.12905 7.43534i −0.186152 0.335211i
\(493\) −10.7431 6.20253i −0.483845 0.279348i
\(494\) −16.9362 + 9.77810i −0.761994 + 0.439938i
\(495\) −6.60121 + 3.52313i −0.296702 + 0.158353i
\(496\) 2.02166i 0.0907754i
\(497\) 0.520778 0.332367i 0.0233601 0.0149087i
\(498\) 0.168283 10.0914i 0.00754094 0.452205i
\(499\) 18.4092 + 31.8856i 0.824108 + 1.42740i 0.902599 + 0.430482i \(0.141656\pi\)
−0.0784916 + 0.996915i \(0.525010\pi\)
\(500\) −10.9370 −0.489117
\(501\) 4.80786 + 8.65771i 0.214800 + 0.386798i
\(502\) 18.3728i 0.820019i
\(503\) 12.3802 0.552004 0.276002 0.961157i \(-0.410990\pi\)
0.276002 + 0.961157i \(0.410990\pi\)
\(504\) 6.91748 + 3.89211i 0.308129 + 0.173368i
\(505\) −23.8678 −1.06210
\(506\) 4.26929i 0.189793i
\(507\) −58.2606 0.971551i −2.58745 0.0431481i
\(508\) 10.9133 0.484200
\(509\) −7.54528 13.0688i −0.334438 0.579264i 0.648938 0.760841i \(-0.275213\pi\)
−0.983377 + 0.181577i \(0.941880\pi\)
\(510\) 23.2103 12.8893i 1.02777 0.570750i
\(511\) 15.9752 + 8.29969i 0.706701 + 0.367157i
\(512\) 1.00000i 0.0441942i
\(513\) −12.4977 8.07463i −0.551786 0.356504i
\(514\) 15.1326 8.73678i 0.667468 0.385363i
\(515\) −25.1917 14.5445i −1.11008 0.640905i
\(516\) −12.9625 0.216161i −0.570641 0.00951598i
\(517\) −6.44011 3.71820i −0.283236 0.163526i
\(518\) −0.841476 18.9206i −0.0369723 0.831325i
\(519\) −13.5465 + 22.5850i −0.594626 + 0.991372i
\(520\) −15.5841 −0.683410
\(521\) −12.4908 21.6347i −0.547231 0.947832i −0.998463 0.0554255i \(-0.982348\pi\)
0.451232 0.892407i \(-0.350985\pi\)
\(522\) −2.92855 + 4.70295i −0.128179 + 0.205842i
\(523\) 21.6818 + 12.5180i 0.948077 + 0.547372i 0.892483 0.451081i \(-0.148961\pi\)
0.0555939 + 0.998453i \(0.482295\pi\)
\(524\) −0.989677 1.71417i −0.0432342 0.0748839i
\(525\) 0.451455 0.834639i 0.0197031 0.0364266i
\(526\) 13.8072 23.9148i 0.602023 1.04273i
\(527\) 11.7607 6.79003i 0.512303 0.295778i
\(528\) 1.65510 0.919121i 0.0720289 0.0399996i
\(529\) −3.87185 + 6.70625i −0.168341 + 0.291576i
\(530\) 0.292567 0.506740i 0.0127083 0.0220114i
\(531\) −2.74318 5.13983i −0.119044 0.223050i
\(532\) 0.336608 + 7.56865i 0.0145938 + 0.328143i
\(533\) 29.0419 16.7674i 1.25795 0.726275i
\(534\) −27.2473 + 15.1312i −1.17911 + 0.654790i
\(535\) 21.7608i 0.940802i
\(536\) 5.09918i 0.220251i
\(537\) −0.117243 + 7.03067i −0.00505941 + 0.303396i
\(538\) −5.86484 + 3.38607i −0.252851 + 0.145984i
\(539\) 6.26036 4.39871i 0.269653 0.189466i
\(540\) −5.40768 10.5521i −0.232710 0.454092i
\(541\) 7.23042 12.5235i 0.310860 0.538426i −0.667689 0.744441i \(-0.732716\pi\)
0.978549 + 0.206015i \(0.0660496\pi\)
\(542\) 4.17899 7.23822i 0.179503 0.310908i
\(543\) 5.47281 + 3.28260i 0.234861 + 0.140870i
\(544\) −5.81732 + 3.35863i −0.249416 + 0.144000i
\(545\) 6.57761 11.3928i 0.281754 0.488012i
\(546\) −14.8896 + 27.5276i −0.637218 + 1.17807i
\(547\) 16.9160 + 29.2994i 0.723277 + 1.25275i 0.959679 + 0.281098i \(0.0906985\pi\)
−0.236402 + 0.971655i \(0.575968\pi\)
\(548\) −2.86923 1.65655i −0.122567 0.0707642i
\(549\) 3.52412 1.88085i 0.150406 0.0802729i
\(550\) −0.113166 0.196010i −0.00482543 0.00835789i
\(551\) −5.28816 −0.225283
\(552\) 6.76433 + 0.112802i 0.287909 + 0.00480115i
\(553\) −10.3514 16.2195i −0.440188 0.689721i
\(554\) −14.0403 8.10617i −0.596515 0.344398i
\(555\) −14.5529 + 24.2628i −0.617735 + 1.02990i
\(556\) 3.00698 + 1.73608i 0.127524 + 0.0736261i
\(557\) −5.09456 + 2.94134i −0.215863 + 0.124629i −0.604033 0.796959i \(-0.706441\pi\)
0.388170 + 0.921588i \(0.373107\pi\)
\(558\) −2.85568 5.35063i −0.120891 0.226510i
\(559\) 51.1180i 2.16206i
\(560\) −2.78339 + 5.35745i −0.117620 + 0.226393i
\(561\) −10.9057 6.54124i −0.460438 0.276171i
\(562\) 14.6273 + 25.3352i 0.617014 + 1.06870i
\(563\) 15.5637 0.655931 0.327966 0.944690i \(-0.393637\pi\)
0.327966 + 0.944690i \(0.393637\pi\)
\(564\) 6.06133 10.1056i 0.255228 0.425521i
\(565\) 27.2273i 1.14546i
\(566\) −1.43448 −0.0602958
\(567\) −23.8059 0.529836i −0.999752 0.0222510i
\(568\) 0.233507 0.00979772
\(569\) 26.2110i 1.09882i −0.835553 0.549410i \(-0.814852\pi\)
0.835553 0.549410i \(-0.185148\pi\)
\(570\) 5.82146 9.70565i 0.243834 0.406525i
\(571\) 25.6181 1.07208 0.536041 0.844192i \(-0.319919\pi\)
0.536041 + 0.844192i \(0.319919\pi\)
\(572\) 3.73239 + 6.46469i 0.156059 + 0.270302i
\(573\) 38.3204 + 22.9846i 1.60086 + 0.960195i
\(574\) −0.577211 12.9786i −0.0240923 0.541717i
\(575\) 0.808799i 0.0337292i
\(576\) 1.41254 + 2.64665i 0.0588558 + 0.110277i
\(577\) 28.0540 16.1970i 1.16790 0.674288i 0.214717 0.976676i \(-0.431117\pi\)
0.953185 + 0.302388i \(0.0977839\pi\)
\(578\) 24.3541 + 14.0608i 1.01300 + 0.584853i
\(579\) 8.27360 13.7939i 0.343839 0.573255i
\(580\) −3.64950 2.10704i −0.151537 0.0874901i
\(581\) 7.10766 13.6808i 0.294875 0.567574i
\(582\) −8.27691 0.138025i −0.343089 0.00572133i
\(583\) −0.280278 −0.0116079
\(584\) 3.40216 + 5.89272i 0.140782 + 0.243842i
\(585\) 41.2457 22.0132i 1.70530 0.910134i
\(586\) 18.7511 + 10.8260i 0.774601 + 0.447216i
\(587\) −4.76851 8.25931i −0.196818 0.340898i 0.750677 0.660669i \(-0.229727\pi\)
−0.947495 + 0.319771i \(0.896394\pi\)
\(588\) 6.80398 + 10.0352i 0.280591 + 0.413846i
\(589\) 2.89453 5.01347i 0.119267 0.206576i
\(590\) 3.83779 2.21575i 0.157999 0.0912208i
\(591\) −8.70769 5.22288i −0.358186 0.214841i
\(592\) 3.57920 6.19935i 0.147104 0.254792i
\(593\) −1.89409 + 3.28065i −0.0777808 + 0.134720i −0.902292 0.431125i \(-0.858117\pi\)
0.824511 + 0.565845i \(0.191450\pi\)
\(594\) −3.08216 + 4.77048i −0.126463 + 0.195735i
\(595\) 40.5144 1.80184i 1.66093 0.0738681i
\(596\) 11.5534 6.67036i 0.473246 0.273229i
\(597\) 0.463916 27.8195i 0.0189868 1.13858i
\(598\) 26.6754i 1.09084i
\(599\) 36.1388i 1.47659i 0.674478 + 0.738295i \(0.264369\pi\)
−0.674478 + 0.738295i \(0.735631\pi\)
\(600\) 0.313551 0.174124i 0.0128007 0.00710857i
\(601\) −13.8275 + 7.98332i −0.564036 + 0.325646i −0.754764 0.655997i \(-0.772249\pi\)
0.190728 + 0.981643i \(0.438915\pi\)
\(602\) −17.5731 9.12987i −0.716227 0.372106i
\(603\) −7.20279 13.4957i −0.293320 0.549588i
\(604\) −2.66995 + 4.62450i −0.108639 + 0.188168i
\(605\) 11.1873 19.3771i 0.454830 0.787789i
\(606\) −15.8383 + 8.79544i −0.643386 + 0.357290i
\(607\) −19.6190 + 11.3270i −0.796309 + 0.459749i −0.842179 0.539198i \(-0.818727\pi\)
0.0458701 + 0.998947i \(0.485394\pi\)
\(608\) −1.43175 + 2.47987i −0.0580653 + 0.100572i
\(609\) −7.20871 + 4.43329i −0.292112 + 0.179646i
\(610\) 1.51922 + 2.63137i 0.0615115 + 0.106541i
\(611\) 40.2391 + 23.2321i 1.62790 + 0.939868i
\(612\) 10.6522 17.1063i 0.430589 0.691481i
\(613\) −1.84758 3.20011i −0.0746232 0.129251i 0.826299 0.563231i \(-0.190442\pi\)
−0.900922 + 0.433980i \(0.857109\pi\)
\(614\) −13.4732 −0.543735
\(615\) −9.98256 + 16.6431i −0.402536 + 0.671115i
\(616\) 2.88902 0.128486i 0.116402 0.00517687i
\(617\) 22.5187 + 13.0011i 0.906567 + 0.523407i 0.879325 0.476222i \(-0.157994\pi\)
0.0272418 + 0.999629i \(0.491328\pi\)
\(618\) −22.0765 0.368147i −0.888049 0.0148090i
\(619\) 20.5526 + 11.8660i 0.826079 + 0.476937i 0.852508 0.522714i \(-0.175080\pi\)
−0.0264296 + 0.999651i \(0.508414\pi\)
\(620\) 3.99518 2.30662i 0.160450 0.0926360i
\(621\) −18.0621 + 9.25634i −0.724808 + 0.371444i
\(622\) 28.7338i 1.15212i
\(623\) −47.5610 + 2.11523i −1.90549 + 0.0847448i
\(624\) −10.3414 + 5.74285i −0.413986 + 0.229898i
\(625\) 12.9962 + 22.5101i 0.519849 + 0.900406i
\(626\) −23.6293 −0.944418
\(627\) −5.42038 0.0903900i −0.216469 0.00360983i
\(628\) 17.6673i 0.705002i
\(629\) −48.0848 −1.91727
\(630\) −0.200966 18.1109i −0.00800666 0.721556i
\(631\) −0.664631 −0.0264586 −0.0132293 0.999912i \(-0.504211\pi\)
−0.0132293 + 0.999912i \(0.504211\pi\)
\(632\) 7.27248i 0.289284i
\(633\) 20.8106 + 37.4744i 0.827147 + 1.48947i
\(634\) 0.877680 0.0348571
\(635\) −12.4515 21.5667i −0.494125 0.855849i
\(636\) 0.00740540 0.444077i 0.000293643 0.0176088i
\(637\) −39.1160 + 27.4840i −1.54983 + 1.08896i
\(638\) 2.01854i 0.0799148i
\(639\) −0.618009 + 0.329837i −0.0244481 + 0.0130482i
\(640\) −1.97618 + 1.14095i −0.0781155 + 0.0451000i
\(641\) 7.27466 + 4.20003i 0.287332 + 0.165891i 0.636738 0.771080i \(-0.280283\pi\)
−0.349406 + 0.936971i \(0.613617\pi\)
\(642\) 8.01900 + 14.4401i 0.316485 + 0.569906i
\(643\) −0.237974 0.137394i −0.00938478 0.00541831i 0.495300 0.868722i \(-0.335058\pi\)
−0.504685 + 0.863304i \(0.668391\pi\)
\(644\) 9.17035 + 4.76433i 0.361362 + 0.187741i
\(645\) 14.3624 + 25.8629i 0.565518 + 1.01835i
\(646\) 19.2349 0.756789
\(647\) 17.0508 + 29.5328i 0.670335 + 1.16105i 0.977809 + 0.209498i \(0.0671829\pi\)
−0.307474 + 0.951556i \(0.599484\pi\)
\(648\) −7.47698 5.00947i −0.293724 0.196790i
\(649\) −1.83830 1.06134i −0.0721594 0.0416612i
\(650\) 0.707086 + 1.22471i 0.0277342 + 0.0480370i
\(651\) −0.257243 9.26086i −0.0100822 0.362962i
\(652\) −7.94915 + 13.7683i −0.311313 + 0.539209i
\(653\) −1.48356 + 0.856531i −0.0580560 + 0.0335187i −0.528747 0.848779i \(-0.677338\pi\)
0.470691 + 0.882298i \(0.344005\pi\)
\(654\) 0.166491 9.98393i 0.00651033 0.390403i
\(655\) −2.25834 + 3.91157i −0.0882408 + 0.152838i
\(656\) 2.45515 4.25245i 0.0958576 0.166030i
\(657\) −17.3280 10.7902i −0.676030 0.420967i
\(658\) 15.1735 9.68389i 0.591524 0.377517i
\(659\) 30.0556 17.3526i 1.17080 0.675961i 0.216930 0.976187i \(-0.430396\pi\)
0.953868 + 0.300226i \(0.0970622\pi\)
\(660\) −3.70474 2.22210i −0.144207 0.0864953i
\(661\) 38.3447i 1.49144i 0.666261 + 0.745718i \(0.267894\pi\)
−0.666261 + 0.745718i \(0.732106\pi\)
\(662\) 20.1830i 0.784435i
\(663\) 68.1409 + 40.8710i 2.64637 + 1.58730i
\(664\) 5.04638 2.91353i 0.195838 0.113067i
\(665\) 14.5730 9.30065i 0.565116 0.360664i
\(666\) −0.716039 + 21.4632i −0.0277459 + 0.831684i
\(667\) −3.60662 + 6.24686i −0.139649 + 0.241879i
\(668\) −2.85878 + 4.95155i −0.110610 + 0.191581i
\(669\) −0.106725 + 6.39993i −0.00412622 + 0.247435i
\(670\) 10.0769 5.81791i 0.389305 0.224765i
\(671\) 0.727706 1.26042i 0.0280928 0.0486581i
\(672\) 0.127243 + 4.58081i 0.00490852 + 0.176709i
\(673\) −8.33538 14.4373i −0.321305 0.556517i 0.659452 0.751746i \(-0.270788\pi\)
−0.980758 + 0.195229i \(0.937455\pi\)
\(674\) −1.31221 0.757605i −0.0505445 0.0291819i
\(675\) −0.583902 + 0.903747i −0.0224744 + 0.0347852i
\(676\) −16.8207 29.1344i −0.646951 1.12055i
\(677\) 20.9365 0.804653 0.402327 0.915496i \(-0.368202\pi\)
0.402327 + 0.915496i \(0.368202\pi\)
\(678\) −10.0334 18.0676i −0.385331 0.693881i
\(679\) −11.2209 5.82968i −0.430620 0.223723i
\(680\) 13.2746 + 7.66407i 0.509056 + 0.293903i
\(681\) 3.87734 + 6.98208i 0.148580 + 0.267554i
\(682\) −1.91369 1.10487i −0.0732789 0.0423076i
\(683\) 6.62003 3.82208i 0.253308 0.146248i −0.367970 0.929838i \(-0.619947\pi\)
0.621278 + 0.783590i \(0.286614\pi\)
\(684\) 0.286431 8.58575i 0.0109519 0.328284i
\(685\) 7.56016i 0.288859i
\(686\) 2.46207 + 18.3559i 0.0940024 + 0.700831i
\(687\) 0.460927 27.6402i 0.0175855 1.05454i
\(688\) −3.74246 6.48214i −0.142680 0.247129i
\(689\) 1.75123 0.0667167
\(690\) −7.49485 13.4963i −0.285324 0.513794i
\(691\) 10.5131i 0.399937i 0.979802 + 0.199969i \(0.0640840\pi\)
−0.979802 + 0.199969i \(0.935916\pi\)
\(692\) −15.2052 −0.578013
\(693\) −7.46473 + 4.42092i −0.283562 + 0.167937i
\(694\) 36.0985 1.37028
\(695\) 7.92311i 0.300541i
\(696\) −3.19821 0.0533331i −0.121228 0.00202159i
\(697\) −32.9838 −1.24935
\(698\) 9.69727 + 16.7962i 0.367047 + 0.635744i
\(699\) 10.7988 5.99687i 0.408448 0.226822i
\(700\) 0.547313 0.0243412i 0.0206865 0.000920011i
\(701\) 15.7336i 0.594250i −0.954839 0.297125i \(-0.903972\pi\)
0.954839 0.297125i \(-0.0960277\pi\)
\(702\) 19.2579 29.8069i 0.726844 1.12499i
\(703\) −17.7519 + 10.2491i −0.669526 + 0.386551i
\(704\) 0.946590 + 0.546514i 0.0356759 + 0.0205975i
\(705\) −26.8861 0.448352i −1.01259 0.0168859i
\(706\) −3.49717 2.01909i −0.131618 0.0759895i
\(707\) −27.6462 + 1.22954i −1.03974 + 0.0462415i
\(708\) 1.73017 2.88458i 0.0650239 0.108409i
\(709\) −2.89945 −0.108891 −0.0544456 0.998517i \(-0.517339\pi\)
−0.0544456 + 0.998517i \(0.517339\pi\)
\(710\) −0.266419 0.461452i −0.00999854 0.0173180i
\(711\) 10.2727 + 19.2477i 0.385255 + 0.721845i
\(712\) −15.5834 8.99707i −0.584012 0.337179i
\(713\) −3.94824 6.83855i −0.147863 0.256106i
\(714\) 26.2207 16.1255i 0.981284 0.603481i
\(715\) 8.51695 14.7518i 0.318516 0.551686i
\(716\) −3.51582 + 2.02986i −0.131392 + 0.0758595i
\(717\) −23.8177 + 13.2266i −0.889489 + 0.493958i
\(718\) 12.2773 21.2649i 0.458184 0.793598i
\(719\) 20.5644 35.6186i 0.766924 1.32835i −0.172299 0.985045i \(-0.555120\pi\)
0.939223 0.343307i \(-0.111547\pi\)
\(720\) 3.61862 5.81113i 0.134858 0.216568i
\(721\) −29.9290 15.5492i −1.11461 0.579082i
\(722\) −9.35335 + 5.40016i −0.348096 + 0.200973i
\(723\) −2.43549 + 1.35250i −0.0905769 + 0.0502999i
\(724\) 3.68452i 0.136934i
\(725\) 0.382404i 0.0142021i
\(726\) 0.283172 16.9809i 0.0105095 0.630220i
\(727\) −33.6212 + 19.4112i −1.24694 + 0.719921i −0.970498 0.241109i \(-0.922489\pi\)
−0.276442 + 0.961031i \(0.589155\pi\)
\(728\) −18.0512 + 0.802809i −0.669022 + 0.0297541i
\(729\) 26.8650 + 2.69675i 0.995000 + 0.0998795i
\(730\) 7.76339 13.4466i 0.287336 0.497681i
\(731\) −25.1391 + 43.5423i −0.929804 + 1.61047i
\(732\) 1.97781 + 1.18629i 0.0731019 + 0.0438466i
\(733\) 22.5362 13.0113i 0.832394 0.480583i −0.0222778 0.999752i \(-0.507092\pi\)
0.854672 + 0.519169i \(0.173758\pi\)
\(734\) −3.62639 + 6.28109i −0.133852 + 0.231839i
\(735\) 12.0685 24.8956i 0.445152 0.918288i
\(736\) 1.95297 + 3.38264i 0.0719873 + 0.124686i
\(737\) −4.82683 2.78677i −0.177799 0.102652i
\(738\) −0.491167 + 14.7227i −0.0180801 + 0.541951i
\(739\) −3.70004 6.40866i −0.136108 0.235746i 0.789912 0.613220i \(-0.210126\pi\)
−0.926020 + 0.377474i \(0.876793\pi\)
\(740\) −16.3347 −0.600477
\(741\) 33.8676 + 0.564775i 1.24416 + 0.0207475i
\(742\) 0.312777 0.602031i 0.0114824 0.0221013i
\(743\) −24.3241 14.0435i −0.892366 0.515208i −0.0176504 0.999844i \(-0.505619\pi\)
−0.874716 + 0.484636i \(0.838952\pi\)
\(744\) 1.80113 3.00288i 0.0660327 0.110091i
\(745\) −26.3637 15.2211i −0.965892 0.557658i
\(746\) 25.7939 14.8921i 0.944380 0.545238i
\(747\) −9.24051 + 14.8393i −0.338092 + 0.542941i
\(748\) 7.34216i 0.268456i
\(749\) 1.12100 + 25.2057i 0.0409604 + 0.920996i
\(750\) 16.2453 + 9.74393i 0.593194 + 0.355798i
\(751\) −21.1897 36.7016i −0.773221 1.33926i −0.935789 0.352561i \(-0.885311\pi\)
0.162567 0.986697i \(-0.448023\pi\)
\(752\) 6.80349 0.248098
\(753\) 16.3686 27.2901i 0.596506 0.994507i
\(754\) 12.6122i 0.459311i
\(755\) 12.1851 0.443463
\(756\) −6.80734 11.9440i −0.247581 0.434401i
\(757\) −41.6462 −1.51366 −0.756828 0.653614i \(-0.773252\pi\)
−0.756828 + 0.653614i \(0.773252\pi\)
\(758\) 6.11280i 0.222027i
\(759\) −3.80358 + 6.34140i −0.138061 + 0.230178i
\(760\) 6.53424 0.237022
\(761\) −17.4823 30.2802i −0.633732 1.09766i −0.986782 0.162051i \(-0.948189\pi\)
0.353051 0.935604i \(-0.385144\pi\)
\(762\) −16.2101 9.72284i −0.587230 0.352221i
\(763\) 7.03199 13.5351i 0.254575 0.490005i
\(764\) 25.7989i 0.933370i
\(765\) −45.9588 1.53324i −1.66164 0.0554344i
\(766\) −28.1374 + 16.2451i −1.01665 + 0.586961i
\(767\) 11.4860 + 6.63146i 0.414737 + 0.239448i
\(768\) −0.890915 + 1.48535i −0.0321481 + 0.0535980i
\(769\) 18.9307 + 10.9296i 0.682658 + 0.394133i 0.800856 0.598857i \(-0.204378\pi\)
−0.118198 + 0.992990i \(0.537712\pi\)
\(770\) −3.55015 5.56265i −0.127938 0.200464i
\(771\) −30.2609