Properties

Label 91.2.ba.a.45.7
Level $91$
Weight $2$
Character 91.45
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.ba (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 45.7
Character \(\chi\) \(=\) 91.45
Dual form 91.2.ba.a.89.7

$q$-expansion

\(f(q)\) \(=\) \(q+(1.74384 - 1.74384i) q^{2} +(-0.146239 + 0.0844309i) q^{3} -4.08193i q^{4} +(-0.638637 + 2.38343i) q^{5} +(-0.107782 + 0.402250i) q^{6} +(-2.04541 + 1.67818i) q^{7} +(-3.63054 - 3.63054i) q^{8} +(-1.48574 + 2.57338i) q^{9} +O(q^{10})\) \(q+(1.74384 - 1.74384i) q^{2} +(-0.146239 + 0.0844309i) q^{3} -4.08193i q^{4} +(-0.638637 + 2.38343i) q^{5} +(-0.107782 + 0.402250i) q^{6} +(-2.04541 + 1.67818i) q^{7} +(-3.63054 - 3.63054i) q^{8} +(-1.48574 + 2.57338i) q^{9} +(3.04263 + 5.26998i) q^{10} +(1.17950 - 4.40195i) q^{11} +(0.344641 + 0.596935i) q^{12} +(1.54835 - 3.25617i) q^{13} +(-0.640394 + 6.49333i) q^{14} +(-0.107841 - 0.402470i) q^{15} -4.49827 q^{16} +0.112710 q^{17} +(1.89666 + 7.07845i) q^{18} +(-3.32660 + 0.891360i) q^{19} +(9.72897 + 2.60687i) q^{20} +(0.157428 - 0.418111i) q^{21} +(-5.61943 - 9.73314i) q^{22} -0.652493i q^{23} +(0.837454 + 0.224395i) q^{24} +(-0.942740 - 0.544291i) q^{25} +(-2.97816 - 8.37828i) q^{26} -1.00836i q^{27} +(6.85021 + 8.34922i) q^{28} +(-2.82213 + 4.88807i) q^{29} +(-0.889899 - 0.513783i) q^{30} +(5.34937 - 1.43336i) q^{31} +(-0.583169 + 0.583169i) q^{32} +(0.199172 + 0.743322i) q^{33} +(0.196548 - 0.196548i) q^{34} +(-2.69354 - 5.94684i) q^{35} +(10.5044 + 6.06469i) q^{36} +(1.09952 + 1.09952i) q^{37} +(-4.24666 + 7.35543i) q^{38} +(0.0484931 + 0.606906i) q^{39} +(10.9717 - 6.33453i) q^{40} +(-10.6793 + 2.86152i) q^{41} +(-0.454588 - 1.00365i) q^{42} +(6.08601 - 3.51376i) q^{43} +(-17.9684 - 4.81463i) q^{44} +(-5.18462 - 5.18462i) q^{45} +(-1.13784 - 1.13784i) q^{46} +(-5.72325 - 1.53354i) q^{47} +(0.657821 - 0.379793i) q^{48} +(1.36743 - 6.86514i) q^{49} +(-2.59314 + 0.694830i) q^{50} +(-0.0164826 + 0.00951622i) q^{51} +(-13.2914 - 6.32024i) q^{52} +(-2.41079 + 4.17561i) q^{53} +(-1.75841 - 1.75841i) q^{54} +(9.73846 + 5.62250i) q^{55} +(13.5186 + 1.33325i) q^{56} +(0.411219 - 0.411219i) q^{57} +(3.60266 + 13.4453i) q^{58} +(2.79191 - 2.79191i) q^{59} +(-1.64285 + 0.440201i) q^{60} +(13.2845 + 7.66982i) q^{61} +(6.82887 - 11.8280i) q^{62} +(-1.27964 - 7.75697i) q^{63} -6.96264i q^{64} +(6.77201 + 5.76988i) q^{65} +(1.64355 + 0.948907i) q^{66} +(-6.07826 - 1.62866i) q^{67} -0.460075i q^{68} +(0.0550906 + 0.0954197i) q^{69} +(-15.0674 - 5.67322i) q^{70} +(3.56578 + 0.955449i) q^{71} +(14.7368 - 3.94872i) q^{72} +(-0.651157 - 2.43015i) q^{73} +3.83477 q^{74} +0.183820 q^{75} +(3.63847 + 13.5789i) q^{76} +(4.97470 + 10.9832i) q^{77} +(1.14291 + 0.973780i) q^{78} +(6.11315 + 10.5883i) q^{79} +(2.87276 - 10.7213i) q^{80} +(-4.37209 - 7.57269i) q^{81} +(-13.6330 + 23.6130i) q^{82} +(-3.34105 - 3.34105i) q^{83} +(-1.70670 - 0.642610i) q^{84} +(-0.0719809 + 0.268637i) q^{85} +(4.48558 - 16.7404i) q^{86} -0.953099i q^{87} +(-20.2637 + 11.6992i) q^{88} +(-6.14338 + 6.14338i) q^{89} -18.0822 q^{90} +(2.29743 + 9.25861i) q^{91} -2.66343 q^{92} +(-0.661264 + 0.661264i) q^{93} +(-12.6547 + 7.30617i) q^{94} -8.49797i q^{95} +(0.0360444 - 0.134519i) q^{96} +(1.04426 - 3.89722i) q^{97} +(-9.58711 - 14.3562i) q^{98} +(9.57547 + 9.57547i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{2} - 6q^{3} - 6q^{5} - 12q^{6} - 6q^{7} - 4q^{8} + 6q^{9} - 6q^{10} + 2q^{11} - 8q^{12} - 20q^{14} + 10q^{15} + 4q^{16} - 12q^{17} + 2q^{18} + 14q^{19} + 36q^{20} - 6q^{21} - 8q^{22} - 18q^{24} + 24q^{26} + 2q^{28} - 8q^{29} - 30q^{30} - 4q^{31} + 10q^{32} - 12q^{33} - 12q^{34} - 20q^{35} + 54q^{36} - 10q^{37} - 20q^{39} + 48q^{40} - 18q^{41} - 10q^{42} + 48q^{43} - 6q^{44} - 6q^{45} + 24q^{46} - 6q^{47} - 12q^{48} - 50q^{49} + 10q^{50} - 12q^{51} - 26q^{52} + 12q^{53} - 30q^{54} + 6q^{55} + 54q^{56} + 12q^{57} - 46q^{58} + 42q^{59} + 10q^{60} + 30q^{61} + 36q^{62} + 54q^{63} + 28q^{65} + 66q^{66} - 10q^{67} - 42q^{69} - 88q^{70} - 42q^{71} + 46q^{72} + 40q^{73} + 12q^{74} - 40q^{75} - 52q^{76} - 62q^{78} + 4q^{79} + 30q^{80} - 6q^{81} - 54q^{82} + 66q^{83} + 104q^{84} - 54q^{85} - 18q^{86} - 6q^{88} + 72q^{90} + 26q^{91} - 156q^{92} + 20q^{93} - 18q^{94} - 66q^{96} - 62q^{97} - 56q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.74384 1.74384i 1.23308 1.23308i 0.270303 0.962775i \(-0.412876\pi\)
0.962775 0.270303i \(-0.0871238\pi\)
\(3\) −0.146239 + 0.0844309i −0.0844309 + 0.0487462i −0.541621 0.840623i \(-0.682189\pi\)
0.457190 + 0.889369i \(0.348856\pi\)
\(4\) 4.08193i 2.04096i
\(5\) −0.638637 + 2.38343i −0.285607 + 1.06590i 0.662787 + 0.748808i \(0.269373\pi\)
−0.948394 + 0.317093i \(0.897293\pi\)
\(6\) −0.107782 + 0.402250i −0.0440020 + 0.164218i
\(7\) −2.04541 + 1.67818i −0.773093 + 0.634292i
\(8\) −3.63054 3.63054i −1.28359 1.28359i
\(9\) −1.48574 + 2.57338i −0.495248 + 0.857794i
\(10\) 3.04263 + 5.26998i 0.962163 + 1.66652i
\(11\) 1.17950 4.40195i 0.355633 1.32724i −0.524054 0.851685i \(-0.675581\pi\)
0.879687 0.475554i \(-0.157752\pi\)
\(12\) 0.344641 + 0.596935i 0.0994892 + 0.172320i
\(13\) 1.54835 3.25617i 0.429434 0.903098i
\(14\) −0.640394 + 6.49333i −0.171152 + 1.73542i
\(15\) −0.107841 0.402470i −0.0278445 0.103917i
\(16\) −4.49827 −1.12457
\(17\) 0.112710 0.0273362 0.0136681 0.999907i \(-0.495649\pi\)
0.0136681 + 0.999907i \(0.495649\pi\)
\(18\) 1.89666 + 7.07845i 0.447048 + 1.66841i
\(19\) −3.32660 + 0.891360i −0.763175 + 0.204492i −0.619354 0.785112i \(-0.712605\pi\)
−0.143820 + 0.989604i \(0.545939\pi\)
\(20\) 9.72897 + 2.60687i 2.17546 + 0.582914i
\(21\) 0.157428 0.418111i 0.0343536 0.0912392i
\(22\) −5.61943 9.73314i −1.19807 2.07511i
\(23\) 0.652493i 0.136054i −0.997683 0.0680271i \(-0.978330\pi\)
0.997683 0.0680271i \(-0.0216704\pi\)
\(24\) 0.837454 + 0.224395i 0.170945 + 0.0458045i
\(25\) −0.942740 0.544291i −0.188548 0.108858i
\(26\) −2.97816 8.37828i −0.584065 1.64312i
\(27\) 1.00836i 0.194058i
\(28\) 6.85021 + 8.34922i 1.29457 + 1.57785i
\(29\) −2.82213 + 4.88807i −0.524056 + 0.907691i 0.475552 + 0.879688i \(0.342248\pi\)
−0.999608 + 0.0280035i \(0.991085\pi\)
\(30\) −0.889899 0.513783i −0.162473 0.0938036i
\(31\) 5.34937 1.43336i 0.960774 0.257439i 0.255846 0.966717i \(-0.417646\pi\)
0.704928 + 0.709279i \(0.250979\pi\)
\(32\) −0.583169 + 0.583169i −0.103091 + 0.103091i
\(33\) 0.199172 + 0.743322i 0.0346715 + 0.129396i
\(34\) 0.196548 0.196548i 0.0337077 0.0337077i
\(35\) −2.69354 5.94684i −0.455292 1.00520i
\(36\) 10.5044 + 6.06469i 1.75073 + 1.01078i
\(37\) 1.09952 + 1.09952i 0.180760 + 0.180760i 0.791687 0.610927i \(-0.209203\pi\)
−0.610927 + 0.791687i \(0.709203\pi\)
\(38\) −4.24666 + 7.35543i −0.688899 + 1.19321i
\(39\) 0.0484931 + 0.606906i 0.00776511 + 0.0971827i
\(40\) 10.9717 6.33453i 1.73478 1.00158i
\(41\) −10.6793 + 2.86152i −1.66783 + 0.446894i −0.964525 0.263993i \(-0.914960\pi\)
−0.703306 + 0.710887i \(0.748294\pi\)
\(42\) −0.454588 1.00365i −0.0701444 0.154866i
\(43\) 6.08601 3.51376i 0.928108 0.535843i 0.0418951 0.999122i \(-0.486660\pi\)
0.886213 + 0.463279i \(0.153327\pi\)
\(44\) −17.9684 4.81463i −2.70885 0.725833i
\(45\) −5.18462 5.18462i −0.772877 0.772877i
\(46\) −1.13784 1.13784i −0.167766 0.167766i
\(47\) −5.72325 1.53354i −0.834822 0.223690i −0.184006 0.982925i \(-0.558907\pi\)
−0.650816 + 0.759235i \(0.725573\pi\)
\(48\) 0.657821 0.379793i 0.0949483 0.0548184i
\(49\) 1.36743 6.86514i 0.195347 0.980734i
\(50\) −2.59314 + 0.694830i −0.366725 + 0.0982637i
\(51\) −0.0164826 + 0.00951622i −0.00230802 + 0.00133254i
\(52\) −13.2914 6.32024i −1.84319 0.876459i
\(53\) −2.41079 + 4.17561i −0.331147 + 0.573564i −0.982737 0.185008i \(-0.940769\pi\)
0.651590 + 0.758571i \(0.274102\pi\)
\(54\) −1.75841 1.75841i −0.239289 0.239289i
\(55\) 9.73846 + 5.62250i 1.31313 + 0.758138i
\(56\) 13.5186 + 1.33325i 1.80650 + 0.178163i
\(57\) 0.411219 0.411219i 0.0544673 0.0544673i
\(58\) 3.60266 + 13.4453i 0.473052 + 1.76546i
\(59\) 2.79191 2.79191i 0.363476 0.363476i −0.501615 0.865091i \(-0.667261\pi\)
0.865091 + 0.501615i \(0.167261\pi\)
\(60\) −1.64285 + 0.440201i −0.212091 + 0.0568297i
\(61\) 13.2845 + 7.66982i 1.70091 + 0.982020i 0.944842 + 0.327526i \(0.106215\pi\)
0.756067 + 0.654495i \(0.227119\pi\)
\(62\) 6.82887 11.8280i 0.867268 1.50215i
\(63\) −1.27964 7.75697i −0.161220 0.977287i
\(64\) 6.96264i 0.870330i
\(65\) 6.77201 + 5.76988i 0.839964 + 0.715666i
\(66\) 1.64355 + 0.948907i 0.202308 + 0.116802i
\(67\) −6.07826 1.62866i −0.742577 0.198973i −0.132354 0.991203i \(-0.542254\pi\)
−0.610223 + 0.792230i \(0.708920\pi\)
\(68\) 0.460075i 0.0557923i
\(69\) 0.0550906 + 0.0954197i 0.00663213 + 0.0114872i
\(70\) −15.0674 5.67322i −1.80090 0.678079i
\(71\) 3.56578 + 0.955449i 0.423181 + 0.113391i 0.464123 0.885771i \(-0.346369\pi\)
−0.0409427 + 0.999161i \(0.513036\pi\)
\(72\) 14.7368 3.94872i 1.73675 0.465361i
\(73\) −0.651157 2.43015i −0.0762122 0.284428i 0.917293 0.398212i \(-0.130369\pi\)
−0.993505 + 0.113785i \(0.963703\pi\)
\(74\) 3.83477 0.445783
\(75\) 0.183820 0.0212257
\(76\) 3.63847 + 13.5789i 0.417361 + 1.55761i
\(77\) 4.97470 + 10.9832i 0.566920 + 1.25165i
\(78\) 1.14291 + 0.973780i 0.129409 + 0.110259i
\(79\) 6.11315 + 10.5883i 0.687783 + 1.19128i 0.972553 + 0.232680i \(0.0747493\pi\)
−0.284770 + 0.958596i \(0.591917\pi\)
\(80\) 2.87276 10.7213i 0.321185 1.19868i
\(81\) −4.37209 7.57269i −0.485788 0.841410i
\(82\) −13.6330 + 23.6130i −1.50551 + 2.60762i
\(83\) −3.34105 3.34105i −0.366728 0.366728i 0.499554 0.866283i \(-0.333497\pi\)
−0.866283 + 0.499554i \(0.833497\pi\)
\(84\) −1.70670 0.642610i −0.186216 0.0701145i
\(85\) −0.0719809 + 0.268637i −0.00780743 + 0.0291377i
\(86\) 4.48558 16.7404i 0.483693 1.80517i
\(87\) 0.953099i 0.102183i
\(88\) −20.2637 + 11.6992i −2.16011 + 1.24714i
\(89\) −6.14338 + 6.14338i −0.651197 + 0.651197i −0.953281 0.302084i \(-0.902318\pi\)
0.302084 + 0.953281i \(0.402318\pi\)
\(90\) −18.0822 −1.90604
\(91\) 2.29743 + 9.25861i 0.240836 + 0.970566i
\(92\) −2.66343 −0.277682
\(93\) −0.661264 + 0.661264i −0.0685699 + 0.0685699i
\(94\) −12.6547 + 7.30617i −1.30523 + 0.753574i
\(95\) 8.49797i 0.871873i
\(96\) 0.0360444 0.134519i 0.00367876 0.0137293i
\(97\) 1.04426 3.89722i 0.106028 0.395703i −0.892431 0.451183i \(-0.851002\pi\)
0.998460 + 0.0554799i \(0.0176689\pi\)
\(98\) −9.58711 14.3562i −0.968444 1.45020i
\(99\) 9.57547 + 9.57547i 0.962371 + 0.962371i
\(100\) −2.22176 + 3.84820i −0.222176 + 0.384820i
\(101\) 2.26018 + 3.91475i 0.224897 + 0.389532i 0.956288 0.292425i \(-0.0944622\pi\)
−0.731392 + 0.681957i \(0.761129\pi\)
\(102\) −0.0121482 + 0.0453376i −0.00120285 + 0.00448910i
\(103\) −6.72989 11.6565i −0.663115 1.14855i −0.979793 0.200016i \(-0.935901\pi\)
0.316677 0.948533i \(-0.397433\pi\)
\(104\) −17.4430 + 6.20031i −1.71042 + 0.607990i
\(105\) 0.895997 + 0.642239i 0.0874404 + 0.0626762i
\(106\) 3.07755 + 11.4856i 0.298919 + 1.11558i
\(107\) 8.25997 0.798521 0.399261 0.916837i \(-0.369267\pi\)
0.399261 + 0.916837i \(0.369267\pi\)
\(108\) −4.11603 −0.396066
\(109\) 3.48535 + 13.0075i 0.333836 + 1.24589i 0.905125 + 0.425145i \(0.139777\pi\)
−0.571289 + 0.820749i \(0.693557\pi\)
\(110\) 26.7870 7.17755i 2.55404 0.684353i
\(111\) −0.253626 0.0679589i −0.0240731 0.00645037i
\(112\) 9.20082 7.54891i 0.869396 0.713305i
\(113\) 1.14314 + 1.97997i 0.107537 + 0.186260i 0.914772 0.403970i \(-0.132370\pi\)
−0.807235 + 0.590231i \(0.799037\pi\)
\(114\) 1.43420i 0.134325i
\(115\) 1.55517 + 0.416707i 0.145020 + 0.0388581i
\(116\) 19.9527 + 11.5197i 1.85256 + 1.06958i
\(117\) 6.07892 + 8.82231i 0.561996 + 0.815623i
\(118\) 9.73726i 0.896388i
\(119\) −0.230539 + 0.189148i −0.0211335 + 0.0173392i
\(120\) −1.06966 + 1.85270i −0.0976461 + 0.169128i
\(121\) −8.45969 4.88420i −0.769063 0.444018i
\(122\) 36.5409 9.79112i 3.30826 0.886446i
\(123\) 1.32013 1.32013i 0.119032 0.119032i
\(124\) −5.85086 21.8357i −0.525423 1.96091i
\(125\) −6.82460 + 6.82460i −0.610411 + 0.610411i
\(126\) −15.7584 11.2954i −1.40387 1.00627i
\(127\) −4.38857 2.53374i −0.389422 0.224833i 0.292488 0.956269i \(-0.405517\pi\)
−0.681910 + 0.731436i \(0.738850\pi\)
\(128\) −13.3080 13.3080i −1.17628 1.17628i
\(129\) −0.593340 + 1.02769i −0.0522406 + 0.0904834i
\(130\) 21.8710 1.74754i 1.91821 0.153269i
\(131\) −4.92213 + 2.84179i −0.430048 + 0.248288i −0.699367 0.714763i \(-0.746535\pi\)
0.269319 + 0.963051i \(0.413201\pi\)
\(132\) 3.03418 0.813007i 0.264092 0.0707632i
\(133\) 5.30841 7.40583i 0.460297 0.642167i
\(134\) −13.4396 + 7.75936i −1.16100 + 0.670306i
\(135\) 2.40334 + 0.643974i 0.206847 + 0.0554244i
\(136\) −0.409199 0.409199i −0.0350885 0.0350885i
\(137\) −6.04202 6.04202i −0.516205 0.516205i 0.400216 0.916421i \(-0.368935\pi\)
−0.916421 + 0.400216i \(0.868935\pi\)
\(138\) 0.262465 + 0.0703274i 0.0223425 + 0.00598666i
\(139\) 9.91348 5.72355i 0.840850 0.485465i −0.0167030 0.999860i \(-0.505317\pi\)
0.857553 + 0.514395i \(0.171984\pi\)
\(140\) −24.2746 + 10.9948i −2.05158 + 0.929234i
\(141\) 0.966439 0.258957i 0.0813888 0.0218081i
\(142\) 7.88429 4.55200i 0.661635 0.381995i
\(143\) −12.5072 10.6564i −1.04591 0.891133i
\(144\) 6.68327 11.5758i 0.556939 0.964647i
\(145\) −9.84803 9.84803i −0.817835 0.817835i
\(146\) −5.37330 3.10227i −0.444697 0.256746i
\(147\) 0.379660 + 1.11940i 0.0313138 + 0.0923267i
\(148\) 4.48817 4.48817i 0.368925 0.368925i
\(149\) −1.97417 7.36771i −0.161730 0.603586i −0.998435 0.0559311i \(-0.982187\pi\)
0.836704 0.547655i \(-0.184479\pi\)
\(150\) 0.320552 0.320552i 0.0261730 0.0261730i
\(151\) 6.37363 1.70781i 0.518679 0.138980i 0.0100235 0.999950i \(-0.496809\pi\)
0.508656 + 0.860970i \(0.330143\pi\)
\(152\) 15.3135 + 8.84123i 1.24209 + 0.717119i
\(153\) −0.167458 + 0.290046i −0.0135382 + 0.0234489i
\(154\) 27.8280 + 10.4779i 2.24244 + 0.844331i
\(155\) 13.6652i 1.09762i
\(156\) 2.47734 0.197945i 0.198346 0.0158483i
\(157\) 8.20626 + 4.73788i 0.654931 + 0.378124i 0.790343 0.612665i \(-0.209903\pi\)
−0.135412 + 0.990789i \(0.543236\pi\)
\(158\) 29.1246 + 7.80390i 2.31703 + 0.620845i
\(159\) 0.814180i 0.0645687i
\(160\) −1.01751 1.76238i −0.0804411 0.139328i
\(161\) 1.09500 + 1.33462i 0.0862982 + 0.105183i
\(162\) −20.8297 5.58131i −1.63654 0.438509i
\(163\) −17.8485 + 4.78249i −1.39800 + 0.374594i −0.877627 0.479344i \(-0.840875\pi\)
−0.520376 + 0.853937i \(0.674208\pi\)
\(164\) 11.6805 + 43.5922i 0.912094 + 3.40398i
\(165\) −1.89885 −0.147825
\(166\) −11.6525 −0.904409
\(167\) −4.24807 15.8540i −0.328725 1.22682i −0.910513 0.413480i \(-0.864313\pi\)
0.581788 0.813341i \(-0.302353\pi\)
\(168\) −2.08952 + 0.946418i −0.161210 + 0.0730177i
\(169\) −8.20525 10.0833i −0.631173 0.775642i
\(170\) 0.342935 + 0.593981i 0.0263019 + 0.0455563i
\(171\) 2.64866 9.88495i 0.202548 0.755921i
\(172\) −14.3429 24.8426i −1.09364 1.89423i
\(173\) 9.11872 15.7941i 0.693283 1.20080i −0.277473 0.960733i \(-0.589497\pi\)
0.970756 0.240068i \(-0.0771698\pi\)
\(174\) −1.66205 1.66205i −0.125999 0.125999i
\(175\) 2.84171 0.468787i 0.214813 0.0354370i
\(176\) −5.30571 + 19.8012i −0.399933 + 1.49257i
\(177\) −0.172561 + 0.644008i −0.0129705 + 0.0484066i
\(178\) 21.4261i 1.60595i
\(179\) −20.4226 + 11.7910i −1.52645 + 0.881299i −0.526947 + 0.849898i \(0.676663\pi\)
−0.999507 + 0.0314008i \(0.990003\pi\)
\(180\) −21.1632 + 21.1632i −1.57741 + 1.57741i
\(181\) 4.65138 0.345735 0.172867 0.984945i \(-0.444697\pi\)
0.172867 + 0.984945i \(0.444697\pi\)
\(182\) 20.1518 + 12.1392i 1.49375 + 0.899814i
\(183\) −2.59028 −0.191479
\(184\) −2.36890 + 2.36890i −0.174638 + 0.174638i
\(185\) −3.32282 + 1.91843i −0.244299 + 0.141046i
\(186\) 2.30627i 0.169104i
\(187\) 0.132942 0.496145i 0.00972165 0.0362817i
\(188\) −6.25980 + 23.3619i −0.456543 + 1.70384i
\(189\) 1.69220 + 2.06250i 0.123090 + 0.150025i
\(190\) −14.8191 14.8191i −1.07509 1.07509i
\(191\) −3.84978 + 6.66801i −0.278560 + 0.482480i −0.971027 0.238969i \(-0.923190\pi\)
0.692467 + 0.721450i \(0.256524\pi\)
\(192\) 0.587862 + 1.01821i 0.0424253 + 0.0734827i
\(193\) 0.0645055 0.240738i 0.00464321 0.0173287i −0.963565 0.267473i \(-0.913811\pi\)
0.968209 + 0.250144i \(0.0804781\pi\)
\(194\) −4.97510 8.61713i −0.357192 0.618674i
\(195\) −1.47748 0.272013i −0.105805 0.0194792i
\(196\) −28.0230 5.58173i −2.00164 0.398695i
\(197\) −1.72653 6.44350i −0.123010 0.459081i 0.876751 0.480945i \(-0.159706\pi\)
−0.999761 + 0.0218645i \(0.993040\pi\)
\(198\) 33.3961 2.37336
\(199\) −5.38835 −0.381970 −0.190985 0.981593i \(-0.561168\pi\)
−0.190985 + 0.981593i \(0.561168\pi\)
\(200\) 1.44658 + 5.39873i 0.102289 + 0.381748i
\(201\) 1.02639 0.275019i 0.0723956 0.0193984i
\(202\) 10.7681 + 2.88530i 0.757639 + 0.203009i
\(203\) −2.43064 14.7341i −0.170598 1.03413i
\(204\) 0.0388445 + 0.0672807i 0.00271966 + 0.00471059i
\(205\) 27.2809i 1.90538i
\(206\) −32.0628 8.59121i −2.23392 0.598578i
\(207\) 1.67912 + 0.969438i 0.116707 + 0.0673806i
\(208\) −6.96488 + 14.6471i −0.482928 + 1.01560i
\(209\) 15.6949i 1.08564i
\(210\) 2.68243 0.442511i 0.185105 0.0305362i
\(211\) −1.44964 + 2.51085i −0.0997974 + 0.172854i −0.911601 0.411077i \(-0.865153\pi\)
0.811803 + 0.583931i \(0.198486\pi\)
\(212\) 17.0445 + 9.84066i 1.17062 + 0.675859i
\(213\) −0.602125 + 0.161339i −0.0412569 + 0.0110548i
\(214\) 14.4040 14.4040i 0.984639 0.984639i
\(215\) 4.48804 + 16.7496i 0.306081 + 1.14231i
\(216\) −3.66087 + 3.66087i −0.249091 + 0.249091i
\(217\) −8.53623 + 11.9090i −0.579477 + 0.808436i
\(218\) 28.7608 + 16.6051i 1.94793 + 1.12464i
\(219\) 0.300404 + 0.300404i 0.0202994 + 0.0202994i
\(220\) 22.9506 39.7517i 1.54733 2.68006i
\(221\) 0.174514 0.367003i 0.0117391 0.0246873i
\(222\) −0.560791 + 0.323773i −0.0376379 + 0.0217302i
\(223\) −18.1024 + 4.85053i −1.21223 + 0.324816i −0.807636 0.589681i \(-0.799253\pi\)
−0.404593 + 0.914497i \(0.632587\pi\)
\(224\) 0.214159 2.17148i 0.0143091 0.145088i
\(225\) 2.80134 1.61735i 0.186756 0.107824i
\(226\) 5.44619 + 1.45930i 0.362275 + 0.0970714i
\(227\) 4.51374 + 4.51374i 0.299587 + 0.299587i 0.840852 0.541265i \(-0.182054\pi\)
−0.541265 + 0.840852i \(0.682054\pi\)
\(228\) −1.67857 1.67857i −0.111166 0.111166i
\(229\) 16.7169 + 4.47928i 1.10468 + 0.295999i 0.764671 0.644421i \(-0.222902\pi\)
0.340014 + 0.940420i \(0.389568\pi\)
\(230\) 3.43863 1.98529i 0.226737 0.130906i
\(231\) −1.65482 1.18615i −0.108879 0.0780431i
\(232\) 27.9921 7.50047i 1.83777 0.492430i
\(233\) 1.08707 0.627620i 0.0712163 0.0411167i −0.463969 0.885851i \(-0.653575\pi\)
0.535185 + 0.844735i \(0.320242\pi\)
\(234\) 25.9853 + 4.78403i 1.69871 + 0.312742i
\(235\) 7.31017 12.6616i 0.476863 0.825950i
\(236\) −11.3964 11.3964i −0.741840 0.741840i
\(237\) −1.78796 1.03228i −0.116140 0.0670536i
\(238\) −0.0721789 + 0.731865i −0.00467866 + 0.0474398i
\(239\) −8.59429 + 8.59429i −0.555918 + 0.555918i −0.928143 0.372225i \(-0.878595\pi\)
0.372225 + 0.928143i \(0.378595\pi\)
\(240\) 0.485100 + 1.81042i 0.0313131 + 0.116862i
\(241\) −1.71820 + 1.71820i −0.110679 + 0.110679i −0.760277 0.649599i \(-0.774937\pi\)
0.649599 + 0.760277i \(0.274937\pi\)
\(242\) −23.2696 + 6.23506i −1.49582 + 0.400805i
\(243\) 3.89852 + 2.25081i 0.250090 + 0.144390i
\(244\) 31.3077 54.2264i 2.00427 3.47149i
\(245\) 15.4893 + 7.64349i 0.989573 + 0.488325i
\(246\) 4.60418i 0.293552i
\(247\) −2.24831 + 12.2121i −0.143057 + 0.777037i
\(248\) −24.6249 14.2172i −1.56368 0.902794i
\(249\) 0.770679 + 0.206503i 0.0488398 + 0.0130866i
\(250\) 23.8020i 1.50537i
\(251\) 7.94802 + 13.7664i 0.501675 + 0.868926i 0.999998 + 0.00193499i \(0.000615928\pi\)
−0.498323 + 0.866991i \(0.666051\pi\)
\(252\) −31.6634 + 5.22340i −1.99461 + 0.329043i
\(253\) −2.87225 0.769616i −0.180577 0.0483853i
\(254\) −12.0714 + 3.23451i −0.757425 + 0.202951i
\(255\) −0.0121548 0.0453624i −0.000761165 0.00284071i
\(256\) −32.4888 −2.03055
\(257\) 14.1941 0.885401 0.442701 0.896670i \(-0.354020\pi\)
0.442701 + 0.896670i \(0.354020\pi\)
\(258\) 0.757443 + 2.82682i 0.0471564 + 0.175990i
\(259\) −4.09417 0.403780i −0.254399 0.0250897i
\(260\) 23.5522 27.6428i 1.46065 1.71434i
\(261\) −8.38591 14.5248i −0.519075 0.899064i
\(262\) −3.62776 + 13.5390i −0.224124 + 0.836442i
\(263\) 9.46835 + 16.3997i 0.583843 + 1.01125i 0.995019 + 0.0996901i \(0.0317851\pi\)
−0.411175 + 0.911556i \(0.634882\pi\)
\(264\) 1.97555 3.42176i 0.121587 0.210595i
\(265\) −8.41264 8.41264i −0.516784 0.516784i
\(266\) −3.65756 22.1716i −0.224260 1.35942i
\(267\) 0.379708 1.41709i 0.0232378 0.0867245i
\(268\) −6.64809 + 24.8110i −0.406096 + 1.51557i
\(269\) 24.2202i 1.47673i −0.674400 0.738366i \(-0.735598\pi\)
0.674400 0.738366i \(-0.264402\pi\)
\(270\) 5.31402 3.06805i 0.323401 0.186716i
\(271\) 11.1386 11.1386i 0.676624 0.676624i −0.282610 0.959235i \(-0.591200\pi\)
0.959235 + 0.282610i \(0.0912004\pi\)
\(272\) −0.507001 −0.0307414
\(273\) −1.11769 1.15999i −0.0676454 0.0702059i
\(274\) −21.0726 −1.27304
\(275\) −3.50791 + 3.50791i −0.211535 + 0.211535i
\(276\) 0.389496 0.224876i 0.0234449 0.0135359i
\(277\) 0.746768i 0.0448689i −0.999748 0.0224345i \(-0.992858\pi\)
0.999748 0.0224345i \(-0.00714171\pi\)
\(278\) 7.30655 27.2684i 0.438218 1.63545i
\(279\) −4.25920 + 15.8956i −0.254992 + 0.951643i
\(280\) −11.8112 + 31.3692i −0.705856 + 1.87467i
\(281\) −0.536856 0.536856i −0.0320261 0.0320261i 0.690912 0.722939i \(-0.257209\pi\)
−0.722939 + 0.690912i \(0.757209\pi\)
\(282\) 1.23373 2.13689i 0.0734677 0.127250i
\(283\) 9.63432 + 16.6871i 0.572701 + 0.991947i 0.996287 + 0.0860911i \(0.0274376\pi\)
−0.423587 + 0.905856i \(0.639229\pi\)
\(284\) 3.90007 14.5553i 0.231427 0.863696i
\(285\) 0.717491 + 1.24273i 0.0425005 + 0.0736130i
\(286\) −40.3935 + 3.22753i −2.38852 + 0.190848i
\(287\) 17.0415 23.7748i 1.00593 1.40338i
\(288\) −0.634278 2.36716i −0.0373752 0.139486i
\(289\) −16.9873 −0.999253
\(290\) −34.3467 −2.01691
\(291\) 0.176335 + 0.658092i 0.0103370 + 0.0385780i
\(292\) −9.91970 + 2.65798i −0.580507 + 0.155546i
\(293\) 14.0543 + 3.76584i 0.821062 + 0.220003i 0.644811 0.764342i \(-0.276936\pi\)
0.176251 + 0.984345i \(0.443603\pi\)
\(294\) 2.61412 + 1.28999i 0.152458 + 0.0752337i
\(295\) 4.87129 + 8.43733i 0.283618 + 0.491240i
\(296\) 7.98371i 0.464044i
\(297\) −4.43873 1.18936i −0.257562 0.0690134i
\(298\) −16.2907 9.40544i −0.943695 0.544843i
\(299\) −2.12463 1.01029i −0.122870 0.0584263i
\(300\) 0.750340i 0.0433209i
\(301\) −6.55168 + 17.4005i −0.377633 + 1.00295i
\(302\) 8.13643 14.0927i 0.468199 0.810944i
\(303\) −0.661052 0.381659i −0.0379764 0.0219257i
\(304\) 14.9639 4.00958i 0.858241 0.229965i
\(305\) −26.7645 + 26.7645i −1.53253 + 1.53253i
\(306\) 0.213773 + 0.797813i 0.0122206 + 0.0456079i
\(307\) 9.47209 9.47209i 0.540601 0.540601i −0.383104 0.923705i \(-0.625145\pi\)
0.923705 + 0.383104i \(0.125145\pi\)
\(308\) 44.8327 20.3064i 2.55458 1.15706i
\(309\) 1.96834 + 1.13642i 0.111975 + 0.0646487i
\(310\) 23.8299 + 23.8299i 1.35345 + 1.35345i
\(311\) −4.14087 + 7.17220i −0.234807 + 0.406698i −0.959217 0.282672i \(-0.908779\pi\)
0.724409 + 0.689370i \(0.242113\pi\)
\(312\) 2.02734 2.37945i 0.114775 0.134710i
\(313\) −4.98156 + 2.87611i −0.281574 + 0.162567i −0.634136 0.773222i \(-0.718644\pi\)
0.352562 + 0.935789i \(0.385311\pi\)
\(314\) 22.5725 6.04827i 1.27384 0.341324i
\(315\) 19.3054 + 1.90396i 1.08774 + 0.107276i
\(316\) 43.2206 24.9534i 2.43135 1.40374i
\(317\) 9.94515 + 2.66479i 0.558575 + 0.149670i 0.527052 0.849833i \(-0.323297\pi\)
0.0315235 + 0.999503i \(0.489964\pi\)
\(318\) −1.41980 1.41980i −0.0796182 0.0796182i
\(319\) 18.1883 + 18.1883i 1.01835 + 1.01835i
\(320\) 16.5949 + 4.44660i 0.927685 + 0.248573i
\(321\) −1.20793 + 0.697397i −0.0674199 + 0.0389249i
\(322\) 4.23686 + 0.417853i 0.236111 + 0.0232860i
\(323\) −0.374942 + 0.100465i −0.0208623 + 0.00559004i
\(324\) −30.9111 + 17.8466i −1.71729 + 0.991475i
\(325\) −3.23199 + 2.22697i −0.179279 + 0.123530i
\(326\) −22.7850 + 39.4647i −1.26194 + 2.18575i
\(327\) −1.60793 1.60793i −0.0889186 0.0889186i
\(328\) 49.1605 + 28.3829i 2.71444 + 1.56718i
\(329\) 14.2800 6.46792i 0.787280 0.356588i
\(330\) −3.31129 + 3.31129i −0.182280 + 0.182280i
\(331\) −4.48552 16.7402i −0.246547 0.920125i −0.972600 0.232486i \(-0.925314\pi\)
0.726053 0.687639i \(-0.241353\pi\)
\(332\) −13.6379 + 13.6379i −0.748479 + 0.748479i
\(333\) −4.46309 + 1.19588i −0.244576 + 0.0655340i
\(334\) −35.0547 20.2389i −1.91811 1.10742i
\(335\) 7.76360 13.4470i 0.424171 0.734686i
\(336\) −0.708154 + 1.88077i −0.0386330 + 0.102605i
\(337\) 12.1069i 0.659506i −0.944067 0.329753i \(-0.893035\pi\)
0.944067 0.329753i \(-0.106965\pi\)
\(338\) −31.8923 3.27510i −1.73471 0.178142i
\(339\) −0.334342 0.193032i −0.0181589 0.0104841i
\(340\) 1.09655 + 0.293821i 0.0594690 + 0.0159347i
\(341\) 25.2383i 1.36673i
\(342\) −12.6189 21.8566i −0.682351 1.18187i
\(343\) 8.72399 + 16.3368i 0.471051 + 0.882106i
\(344\) −34.8523 9.33865i −1.87911 0.503506i
\(345\) −0.262609 + 0.0703659i −0.0141384 + 0.00378837i
\(346\) −11.6407 43.4438i −0.625810 2.33555i
\(347\) −2.86789 −0.153957 −0.0769783 0.997033i \(-0.524527\pi\)
−0.0769783 + 0.997033i \(0.524527\pi\)
\(348\) −3.89048 −0.208552
\(349\) 3.12009 + 11.6443i 0.167014 + 0.623306i 0.997775 + 0.0666760i \(0.0212394\pi\)
−0.830760 + 0.556630i \(0.812094\pi\)
\(350\) 4.13799 5.77297i 0.221185 0.308578i
\(351\) −3.28338 1.56128i −0.175254 0.0833352i
\(352\) 1.87924 + 3.25493i 0.100164 + 0.173488i
\(353\) 7.89564 29.4669i 0.420242 1.56837i −0.353856 0.935300i \(-0.615130\pi\)
0.774098 0.633066i \(-0.218204\pi\)
\(354\) 0.822126 + 1.42396i 0.0436955 + 0.0756828i
\(355\) −4.55449 + 7.88860i −0.241727 + 0.418683i
\(356\) 25.0768 + 25.0768i 1.32907 + 1.32907i
\(357\) 0.0177437 0.0471253i 0.000939099 0.00249414i
\(358\) −15.0521 + 56.1751i −0.795527 + 2.96895i
\(359\) −4.63302 + 17.2907i −0.244521 + 0.912566i 0.729102 + 0.684405i \(0.239938\pi\)
−0.973623 + 0.228161i \(0.926729\pi\)
\(360\) 37.6459i 1.98411i
\(361\) −6.18273 + 3.56960i −0.325407 + 0.187874i
\(362\) 8.11125 8.11125i 0.426318 0.426318i
\(363\) 1.64951 0.0865769
\(364\) 37.7930 9.37793i 1.98089 0.491537i
\(365\) 6.20794 0.324939
\(366\) −4.51702 + 4.51702i −0.236109 + 0.236109i
\(367\) −6.26259 + 3.61571i −0.326905 + 0.188738i −0.654466 0.756091i \(-0.727107\pi\)
0.327561 + 0.944830i \(0.393773\pi\)
\(368\) 2.93509i 0.153002i
\(369\) 8.50296 31.7335i 0.442646 1.65198i
\(370\) −2.44903 + 9.13989i −0.127319 + 0.475160i
\(371\) −2.07636 12.5866i −0.107799 0.653462i
\(372\) 2.69923 + 2.69923i 0.139949 + 0.139949i
\(373\) 12.2087 21.1462i 0.632145 1.09491i −0.354967 0.934879i \(-0.615508\pi\)
0.987112 0.160029i \(-0.0511586\pi\)
\(374\) −0.633367 1.09702i −0.0327506 0.0567257i
\(375\) 0.421813 1.57423i 0.0217823 0.0812927i
\(376\) 15.2109 + 26.3461i 0.784443 + 1.35869i
\(377\) 11.5467 + 16.7577i 0.594687 + 0.863067i
\(378\) 6.54759 + 0.645745i 0.336772 + 0.0332135i
\(379\) −2.27080 8.47475i −0.116643 0.435319i 0.882761 0.469822i \(-0.155682\pi\)
−0.999405 + 0.0345031i \(0.989015\pi\)
\(380\) −34.6881 −1.77946
\(381\) 0.855704 0.0438390
\(382\) 4.91454 + 18.3413i 0.251449 + 0.938422i
\(383\) −16.9913 + 4.55280i −0.868213 + 0.232637i −0.665315 0.746563i \(-0.731703\pi\)
−0.202898 + 0.979200i \(0.565036\pi\)
\(384\) 3.06976 + 0.822539i 0.156653 + 0.0419750i
\(385\) −29.3547 + 4.84255i −1.49606 + 0.246799i
\(386\) −0.307320 0.532294i −0.0156422 0.0270931i
\(387\) 20.8822i 1.06150i
\(388\) −15.9082 4.26258i −0.807615 0.216400i
\(389\) 8.77740 + 5.06764i 0.445032 + 0.256939i 0.705730 0.708481i \(-0.250619\pi\)
−0.260698 + 0.965420i \(0.583953\pi\)
\(390\) −3.05084 + 2.10215i −0.154485 + 0.106446i
\(391\) 0.0735427i 0.00371921i
\(392\) −29.8886 + 19.9597i −1.50960 + 1.00812i
\(393\) 0.479870 0.831159i 0.0242062 0.0419264i
\(394\) −14.2472 8.22563i −0.717764 0.414401i
\(395\) −29.1405 + 7.80817i −1.46622 + 0.392872i
\(396\) 39.0864 39.0864i 1.96416 1.96416i
\(397\) 2.18723 + 8.16286i 0.109774 + 0.409682i 0.998843 0.0480910i \(-0.0153138\pi\)
−0.889069 + 0.457773i \(0.848647\pi\)
\(398\) −9.39641 + 9.39641i −0.470999 + 0.470999i
\(399\) −0.151013 + 1.53121i −0.00756012 + 0.0766565i
\(400\) 4.24070 + 2.44837i 0.212035 + 0.122419i
\(401\) 6.65097 + 6.65097i 0.332134 + 0.332134i 0.853396 0.521263i \(-0.174539\pi\)
−0.521263 + 0.853396i \(0.674539\pi\)
\(402\) 1.31026 2.26944i 0.0653498 0.113189i
\(403\) 3.61542 19.6378i 0.180097 0.978227i
\(404\) 15.9797 9.22590i 0.795021 0.459006i
\(405\) 20.8411 5.58436i 1.03560 0.277489i
\(406\) −29.9326 21.4553i −1.48553 1.06481i
\(407\) 6.13693 3.54316i 0.304196 0.175628i
\(408\) 0.0943896 + 0.0252916i 0.00467298 + 0.00125212i
\(409\) 17.9666 + 17.9666i 0.888390 + 0.888390i 0.994368 0.105979i \(-0.0337975\pi\)
−0.105979 + 0.994368i \(0.533797\pi\)
\(410\) −47.5734 47.5734i −2.34948 2.34948i
\(411\) 1.39371 + 0.373444i 0.0687467 + 0.0184206i
\(412\) −47.5810 + 27.4709i −2.34415 + 1.35339i
\(413\) −1.02528 + 10.3959i −0.0504508 + 0.511550i
\(414\) 4.61864 1.23756i 0.226994 0.0608228i
\(415\) 10.0969 5.82944i 0.495636 0.286156i
\(416\) 0.995948 + 2.80184i 0.0488304 + 0.137372i
\(417\) −0.966489 + 1.67401i −0.0473292 + 0.0819765i
\(418\) 27.3693 + 27.3693i 1.33868 + 1.33868i
\(419\) −17.4075 10.0503i −0.850414 0.490987i 0.0103762 0.999946i \(-0.496697\pi\)
−0.860791 + 0.508959i \(0.830030\pi\)
\(420\) 2.62157 3.65739i 0.127920 0.178463i
\(421\) −2.51951 + 2.51951i −0.122793 + 0.122793i −0.765833 0.643040i \(-0.777673\pi\)
0.643040 + 0.765833i \(0.277673\pi\)
\(422\) 1.85058 + 6.90645i 0.0900847 + 0.336201i
\(423\) 12.4497 12.4497i 0.605324 0.605324i
\(424\) 23.9122 6.40724i 1.16128 0.311163i
\(425\) −0.106256 0.0613472i −0.00515419 0.00297578i
\(426\) −0.768658 + 1.33135i −0.0372416 + 0.0645044i
\(427\) −40.0437 + 6.60587i −1.93785 + 0.319680i
\(428\) 33.7166i 1.62975i
\(429\) 2.72877 + 0.502381i 0.131746 + 0.0242552i
\(430\) 37.0349 + 21.3821i 1.78598 + 1.03114i
\(431\) 23.1558 + 6.20458i 1.11538 + 0.298864i 0.769011 0.639236i \(-0.220749\pi\)
0.346365 + 0.938100i \(0.387416\pi\)
\(432\) 4.53586i 0.218232i
\(433\) −11.7141 20.2893i −0.562941 0.975043i −0.997238 0.0742732i \(-0.976336\pi\)
0.434296 0.900770i \(-0.356997\pi\)
\(434\) 5.88157 + 35.6531i 0.282325 + 1.71141i
\(435\) 2.27164 + 0.608684i 0.108917 + 0.0291842i
\(436\) 53.0957 14.2269i 2.54282 0.681347i
\(437\) 0.581607 + 2.17059i 0.0278220 + 0.103833i
\(438\) 1.04771 0.0500616
\(439\) −33.7642 −1.61148 −0.805738 0.592272i \(-0.798231\pi\)
−0.805738 + 0.592272i \(0.798231\pi\)
\(440\) −14.9431 55.7686i −0.712386 2.65866i
\(441\) 15.6350 + 13.7187i 0.744523 + 0.653273i
\(442\) −0.335669 0.944318i −0.0159661 0.0449166i
\(443\) −15.5134 26.8699i −0.737062 1.27663i −0.953813 0.300402i \(-0.902879\pi\)
0.216750 0.976227i \(-0.430454\pi\)
\(444\) −0.277403 + 1.03528i −0.0131650 + 0.0491324i
\(445\) −10.7189 18.5657i −0.508125 0.880098i
\(446\) −23.1091 + 40.0262i −1.09425 + 1.89530i
\(447\) 0.910762 + 0.910762i 0.0430776 + 0.0430776i
\(448\) 11.6846 + 14.2415i 0.552043 + 0.672846i
\(449\) −0.388197 + 1.44877i −0.0183202 + 0.0683718i −0.974481 0.224471i \(-0.927935\pi\)
0.956161 + 0.292843i \(0.0946013\pi\)
\(450\) 2.06468 7.70548i 0.0973298 0.363240i
\(451\) 50.3851i 2.37254i
\(452\) 8.08210 4.66620i 0.380150 0.219480i
\(453\) −0.787880 + 0.787880i −0.0370178 + 0.0370178i
\(454\) 15.7424 0.738829
\(455\) −23.5344 0.437145i −1.10331 0.0204937i
\(456\) −2.98589 −0.139827
\(457\) 21.6961 21.6961i 1.01490 1.01490i 0.0150158 0.999887i \(-0.495220\pi\)
0.999887 0.0150158i \(-0.00477986\pi\)
\(458\) 36.9627 21.3404i 1.72715 0.997172i
\(459\) 0.113652i 0.00530482i
\(460\) 1.70097 6.34809i 0.0793080 0.295981i
\(461\) 6.69670 24.9924i 0.311896 1.16401i −0.614948 0.788568i \(-0.710823\pi\)
0.926845 0.375445i \(-0.122510\pi\)
\(462\) −4.95418 + 0.817274i −0.230490 + 0.0380230i
\(463\) −26.5381 26.5381i −1.23333 1.23333i −0.962677 0.270652i \(-0.912761\pi\)
−0.270652 0.962677i \(-0.587239\pi\)
\(464\) 12.6947 21.9878i 0.589336 1.02076i
\(465\) −1.15377 1.99838i −0.0535047 0.0926728i
\(466\) 0.801205 2.99014i 0.0371151 0.138515i
\(467\) 4.11119 + 7.12080i 0.190243 + 0.329511i 0.945331 0.326113i \(-0.105739\pi\)
−0.755087 + 0.655624i \(0.772406\pi\)
\(468\) 36.0120 24.8137i 1.66466 1.14701i
\(469\) 15.1657 6.86912i 0.700288 0.317186i
\(470\) −9.33199 34.8274i −0.430452 1.60647i
\(471\) −1.60010 −0.0737285
\(472\) −20.2723 −0.933106
\(473\) −8.28895 30.9348i −0.381127 1.42238i
\(474\) −4.91803 + 1.31778i −0.225892 + 0.0605277i
\(475\) 3.62128 + 0.970319i 0.166156 + 0.0445213i
\(476\) 0.772088 + 0.941043i 0.0353886 + 0.0431326i
\(477\) −7.16362 12.4078i −0.328000 0.568112i
\(478\) 29.9740i 1.37098i
\(479\) 20.9972 + 5.62619i 0.959388 + 0.257067i 0.704342 0.709861i \(-0.251242\pi\)
0.255047 + 0.966929i \(0.417909\pi\)
\(480\) 0.297598 + 0.171818i 0.0135834 + 0.00784239i
\(481\) 5.28267 1.87779i 0.240869 0.0856196i
\(482\) 5.99250i 0.272951i
\(483\) −0.272815 0.102721i −0.0124135 0.00467396i
\(484\) −19.9370 + 34.5318i −0.906225 + 1.56963i
\(485\) 8.62185 + 4.97782i 0.391498 + 0.226031i
\(486\) 10.7234 2.87333i 0.486425 0.130337i
\(487\) 12.7599 12.7599i 0.578206 0.578206i −0.356202 0.934409i \(-0.615929\pi\)
0.934409 + 0.356202i \(0.115929\pi\)
\(488\) −20.3844 76.0755i −0.922758 3.44378i
\(489\) 2.20635 2.20635i 0.0997746 0.0997746i
\(490\) 40.3397 13.6817i 1.82236 0.618078i
\(491\) 5.63350 + 3.25250i 0.254236 + 0.146783i 0.621703 0.783253i \(-0.286441\pi\)
−0.367466 + 0.930037i \(0.619775\pi\)
\(492\) −5.38867 5.38867i −0.242940 0.242940i
\(493\) −0.318082 + 0.550935i −0.0143257 + 0.0248129i
\(494\) 17.3752 + 25.2166i 0.781748 + 1.13455i
\(495\) −28.9377 + 16.7072i −1.30065 + 0.750932i
\(496\) −24.0629 + 6.44763i −1.08046 + 0.289507i
\(497\) −8.89691 + 4.02974i −0.399081 + 0.180758i
\(498\) 1.70405 0.983831i 0.0763601 0.0440865i
\(499\) 19.4522 + 5.21221i 0.870802 + 0.233331i 0.666434 0.745564i \(-0.267820\pi\)
0.204367 + 0.978894i \(0.434486\pi\)
\(500\) 27.8575 + 27.8575i 1.24583 + 1.24583i
\(501\) 1.95980 + 1.95980i 0.0875574 + 0.0875574i
\(502\) 37.8664 + 10.1463i 1.69006 + 0.452850i
\(503\) −17.1138 + 9.88067i −0.763068 + 0.440557i −0.830396 0.557173i \(-0.811886\pi\)
0.0673282 + 0.997731i \(0.478553\pi\)
\(504\) −23.5162 + 32.8078i −1.04749 + 1.46137i
\(505\) −10.7740 + 2.88687i −0.479435 + 0.128464i
\(506\) −6.35081 + 3.66664i −0.282328 + 0.163002i
\(507\) 2.05127 + 0.781798i 0.0911001 + 0.0347209i
\(508\) −10.3425 + 17.9138i −0.458876 + 0.794796i
\(509\) 21.0947 + 21.0947i 0.935004 + 0.935004i 0.998013 0.0630085i \(-0.0200695\pi\)
−0.0630085 + 0.998013i \(0.520070\pi\)
\(510\) −0.100301 0.0579086i −0.00444139 0.00256424i
\(511\) 5.41012 + 3.87791i 0.239330 + 0.171548i
\(512\) −30.0390 + 30.0390i −1.32755 + 1.32755i
\(513\) 0.898808 + 3.35440i 0.0396833 + 0.148100i
\(514\) 24.7521 24.7521i 1.09177 1.09177i
\(515\) 32.0804 8.59591i 1.41363 0.378781i
\(516\) 4.19497 + 2.42197i 0.184673 + 0.106621i
\(517\) −13.5012 + 23.3847i −0.593780 + 1.02846i
\(518\) −7.84369 + 6.43543i −0.344632 + 0.282757i
\(519\) 3.07961i 0.135180i
\(520\) −3.63825 45.5338i −0.159548 1.99679i
\(521\) 6.67564 + 3.85418i 0.292465 + 0.168855i 0.639053 0.769163i \(-0.279326\pi\)
−0.346588 + 0.938018i \(0.612660\pi\)
\(522\) −39.9525 10.7053i −1.74868 0.468556i
\(523\) 0.0152739i 0.000667882i −1.00000 0.000333941i \(-0.999894\pi\)
1.00000 0.000333941i \(-0.000106297\pi\)
\(524\) 11.6000 + 20.0918i 0.506748 + 0.877713i
\(525\) −0.375988 + 0.308483i −0.0164095 + 0.0134633i
\(526\) 45.1096 + 12.0871i 1.96687 + 0.527021i
\(527\) 0.602928 0.161554i 0.0262640 0.00703741i
\(528\) −0.895931 3.34366i −0.0389904 0.145514i
\(529\) 22.5743 0.981489
\(530\) −29.3405 −1.27447
\(531\) 3.03659 + 11.3327i 0.131777 + 0.491798i
\(532\) −30.2301 21.6685i −1.31064 0.939450i
\(533\) −7.21772 + 39.2043i −0.312634 + 1.69813i
\(534\) −1.80902 3.13332i −0.0782841 0.135592i
\(535\) −5.27513 + 19.6870i −0.228064 + 0.851145i
\(536\) 16.1544 + 27.9803i 0.697764 + 1.20856i
\(537\) 1.99105 3.44859i 0.0859199 0.148818i
\(538\) −42.2361 42.2361i −1.82093 1.82093i
\(539\) −28.6071 14.1168i −1.23220 0.608052i
\(540\) 2.62865 9.81027i 0.113119 0.422167i
\(541\) −12.0108 + 44.8251i −0.516386 + 1.92718i −0.191061 + 0.981578i \(0.561193\pi\)
−0.325325 + 0.945602i \(0.605474\pi\)
\(542\) 38.8479i 1.66866i
\(543\) −0.680212 + 0.392720i −0.0291907 + 0.0168532i
\(544\) −0.0657291 + 0.0657291i −0.00281811 + 0.00281811i
\(545\) −33.2283 −1.42334
\(546\) −3.97190 0.0737768i −0.169981 0.00315735i
\(547\) 22.9225 0.980097 0.490049 0.871695i \(-0.336979\pi\)
0.490049 + 0.871695i \(0.336979\pi\)
\(548\) −24.6631 + 24.6631i −1.05355 + 1.05355i
\(549\) −39.4748 + 22.7908i −1.68474 + 0.972686i
\(550\) 12.2344i 0.521678i
\(551\) 5.03106 18.7762i 0.214330 0.799892i
\(552\) 0.146416 0.546434i 0.00623190 0.0232578i
\(553\) −30.2730 11.3985i −1.28734 0.484711i
\(554\) −1.30224 1.30224i −0.0553269 0.0553269i
\(555\) 0.323950 0.561098i 0.0137509 0.0238173i
\(556\) −23.3631 40.4661i −0.990816 1.71614i
\(557\) −4.20224 + 15.6830i −0.178055 + 0.664509i 0.817957 + 0.575280i \(0.195107\pi\)
−0.996011 + 0.0892288i \(0.971560\pi\)
\(558\) 20.2919 + 35.1466i 0.859025 + 1.48787i
\(559\) −2.01814 25.2576i −0.0853581 1.06828i
\(560\) 12.1163 + 26.7505i 0.512006 + 1.13041i
\(561\) 0.0224488 + 0.0837799i 0.000947788 + 0.00353719i
\(562\) −1.87238 −0.0789814
\(563\) 10.5234 0.443507 0.221753 0.975103i \(-0.428822\pi\)
0.221753 + 0.975103i \(0.428822\pi\)
\(564\) −1.05704 3.94493i −0.0445095 0.166112i
\(565\) −5.44917 + 1.46010i −0.229248 + 0.0614269i
\(566\) 45.9003 + 12.2989i 1.92933 + 0.516963i
\(567\) 21.6511 + 8.15211i 0.909259 + 0.342356i
\(568\) −9.47692 16.4145i −0.397643 0.688737i
\(569\) 35.6613i 1.49500i −0.664262 0.747500i \(-0.731254\pi\)
0.664262 0.747500i \(-0.268746\pi\)
\(570\) 3.41830 + 0.915932i 0.143177 + 0.0383642i
\(571\) 9.54352 + 5.50995i 0.399384 + 0.230584i 0.686218 0.727396i \(-0.259270\pi\)
−0.286834 + 0.957980i \(0.592603\pi\)
\(572\) −43.4986 + 51.0535i −1.81877 + 2.13466i
\(573\) 1.30016i 0.0543150i
\(574\) −11.7418 71.1769i −0.490094 2.97087i
\(575\) −0.355147 + 0.615132i −0.0148106 + 0.0256528i
\(576\) 17.9175 + 10.3447i 0.746564 + 0.431029i
\(577\) −26.6870 + 7.15076i −1.11099 + 0.297690i −0.767234 0.641367i \(-0.778367\pi\)
−0.343760 + 0.939057i \(0.611701\pi\)
\(578\) −29.6231 + 29.6231i −1.23216 + 1.23216i
\(579\) 0.0108925 + 0.0406514i 0.000452677 + 0.00168942i
\(580\) −40.1989 + 40.1989i −1.66917 + 1.66917i
\(581\) 12.4407 + 1.22695i 0.516128 + 0.0509023i
\(582\) 1.45510 + 0.840105i 0.0603160 + 0.0348235i
\(583\) 15.5373 + 15.5373i 0.643489 + 0.643489i
\(584\) −6.45871 + 11.1868i −0.267263 + 0.462914i
\(585\) −24.9096 + 8.85440i −1.02988 + 0.366084i
\(586\) 31.0754 17.9414i 1.28371 0.741153i
\(587\) −7.45089 + 1.99646i −0.307531 + 0.0824027i −0.409284 0.912407i \(-0.634222\pi\)
0.101753 + 0.994810i \(0.467555\pi\)
\(588\) 4.56931 1.54974i 0.188435 0.0639103i
\(589\) −16.5176 + 9.53642i −0.680594 + 0.392941i
\(590\) 23.2081 + 6.21858i 0.955460 + 0.256015i
\(591\) 0.796517 + 0.796517i 0.0327643 + 0.0327643i
\(592\) −4.94594 4.94594i −0.203277 0.203277i
\(593\) 9.89297 + 2.65081i 0.406256 + 0.108856i 0.456159 0.889898i \(-0.349225\pi\)
−0.0499035 + 0.998754i \(0.515891\pi\)
\(594\) −9.81446 + 5.66638i −0.402692 + 0.232495i
\(595\) −0.303590 0.670269i −0.0124460 0.0274784i
\(596\) −30.0744 + 8.05842i −1.23190 + 0.330086i
\(597\) 0.787985 0.454944i 0.0322501 0.0186196i
\(598\) −5.46677 + 1.94323i −0.223553 + 0.0794646i
\(599\) 19.8784 34.4305i 0.812211 1.40679i −0.0991022 0.995077i \(-0.531597\pi\)
0.911313 0.411714i \(-0.135070\pi\)
\(600\) −0.667366 0.667366i −0.0272451 0.0272451i
\(601\) 5.65826 + 3.26680i 0.230805 + 0.133255i 0.610943 0.791674i \(-0.290790\pi\)
−0.380138 + 0.924930i \(0.624124\pi\)
\(602\) 18.9186 + 41.7687i 0.771063 + 1.70236i
\(603\) 13.2219 13.2219i 0.538437 0.538437i
\(604\) −6.97116 26.0167i −0.283652 1.05860i
\(605\) 17.0438 17.0438i 0.692930 0.692930i
\(606\) −1.81832 + 0.487216i −0.0738640 + 0.0197918i
\(607\) 5.87637 + 3.39272i 0.238514 + 0.137706i 0.614494 0.788922i \(-0.289360\pi\)
−0.375979 + 0.926628i \(0.622694\pi\)
\(608\) 1.42016 2.45979i 0.0575950 0.0997575i
\(609\) 1.59947 + 1.94948i 0.0648138 + 0.0789969i
\(610\) 93.3456i 3.77945i
\(611\) −13.8550 + 16.2614i −0.560515 + 0.657866i
\(612\) 1.18395 + 0.683553i 0.0478583 + 0.0276310i
\(613\) 19.0899 + 5.11512i 0.771034 + 0.206598i 0.622828 0.782359i \(-0.285984\pi\)
0.148206 + 0.988957i \(0.452650\pi\)
\(614\) 33.0355i 1.33321i
\(615\) 2.30335 + 3.98952i 0.0928800 + 0.160873i
\(616\) 21.8142 57.9359i 0.878917 2.33430i
\(617\) −2.05438 0.550470i −0.0827063 0.0221611i 0.217229 0.976121i \(-0.430298\pi\)
−0.299935 + 0.953960i \(0.596965\pi\)
\(618\) 5.41419 1.45073i 0.217791 0.0583568i
\(619\) −7.70516 28.7560i −0.309696 1.15580i −0.928827 0.370514i \(-0.879181\pi\)
0.619130 0.785288i \(-0.287485\pi\)
\(620\) 55.7804 2.24020
\(621\) −0.657946 −0.0264024
\(622\) 5.28614 + 19.7281i 0.211955 + 0.791027i
\(623\) 2.25605 22.8754i 0.0903868 0.916485i
\(624\) −0.218135 2.73003i −0.00873239 0.109288i
\(625\) −14.6290 25.3381i −0.585158 1.01352i
\(626\) −3.67157 + 13.7025i −0.146745 + 0.547661i
\(627\) −1.32513 2.29520i −0.0529208 0.0916615i
\(628\) 19.3397 33.4973i 0.771738 1.33669i
\(629\) 0.123927 + 0.123927i 0.00494130 + 0.00494130i
\(630\) 36.9857 30.3453i 1.47354 1.20898i
\(631\) 6.04595 22.5638i 0.240686 0.898251i −0.734817 0.678265i \(-0.762732\pi\)
0.975503 0.219986i \(-0.0706011\pi\)
\(632\) 16.2472 60.6352i 0.646277 2.41194i
\(633\) 0.489578i 0.0194590i
\(634\) 21.9897 12.6957i 0.873321 0.504212i
\(635\) 8.84168 8.84168i 0.350872 0.350872i
\(636\) −3.32342 −0.131782
\(637\) −20.2368 15.0822i −0.801811 0.597578i
\(638\) 63.4349 2.51141
\(639\) −7.75657 + 7.75657i −0.306845 + 0.306845i
\(640\) 40.2177 23.2197i 1.58975 0.917840i
\(641\) 25.5854i 1.01056i 0.862955 + 0.505280i \(0.168611\pi\)
−0.862955 + 0.505280i \(0.831389\pi\)
\(642\) −0.890280 + 3.32257i −0.0351366 + 0.131131i
\(643\) −7.72960 + 28.8473i −0.304826 + 1.13763i 0.628269 + 0.777996i \(0.283764\pi\)
−0.933095 + 0.359630i \(0.882903\pi\)
\(644\) 5.44781 4.46971i 0.214674 0.176131i
\(645\) −2.07051 2.07051i −0.0815261 0.0815261i
\(646\) −0.478642 + 0.829032i −0.0188319 + 0.0326178i
\(647\) 1.41318 + 2.44770i 0.0555577 + 0.0962288i 0.892467 0.451113i \(-0.148973\pi\)
−0.836909 + 0.547342i \(0.815640\pi\)
\(648\) −11.6199 + 43.3660i −0.456472 + 1.70358i
\(649\) −8.99679 15.5829i −0.353155 0.611683i
\(650\) −1.75260 + 9.51953i −0.0687425 + 0.373387i
\(651\) 0.242838 2.46228i 0.00951757 0.0965043i
\(652\) 19.5218 + 72.8563i 0.764532 + 2.85327i
\(653\) 26.1013 1.02142 0.510711 0.859753i \(-0.329382\pi\)
0.510711 + 0.859753i \(0.329382\pi\)
\(654\) −5.60793 −0.219287
\(655\) −3.62975 13.5464i −0.141826 0.529302i
\(656\) 48.0385 12.8719i 1.87559 0.502562i
\(657\) 7.22116 + 1.93490i 0.281724 + 0.0754878i
\(658\) 13.6229 36.1809i 0.531077 1.41048i
\(659\) −9.04837 15.6722i −0.352475 0.610504i 0.634208 0.773163i \(-0.281326\pi\)
−0.986682 + 0.162659i \(0.947993\pi\)
\(660\) 7.75097i 0.301706i
\(661\) −1.36965 0.366997i −0.0532733 0.0142745i 0.232084 0.972696i \(-0.425446\pi\)
−0.285357 + 0.958421i \(0.592112\pi\)
\(662\) −37.0142 21.3702i −1.43860 0.830574i
\(663\) 0.00546567 + 0.0684044i 0.000212269 + 0.00265661i
\(664\) 24.2596i 0.941457i
\(665\) 14.2611 + 17.3818i 0.553022 + 0.674039i
\(666\) −5.69748 + 9.86833i −0.220773 + 0.382390i
\(667\) 3.18943 + 1.84142i 0.123495 + 0.0713000i
\(668\) −64.7149 + 17.3403i −2.50389 + 0.670917i
\(669\) 2.23774 2.23774i 0.0865160 0.0865160i
\(670\) −9.91083 36.9877i −0.382889 1.42896i
\(671\) 49.4313 49.4313i 1.90827 1.90827i
\(672\) 0.152022 + 0.335637i 0.00586438 + 0.0129475i
\(673\) −3.78674 2.18627i −0.145968 0.0842747i 0.425237 0.905082i \(-0.360191\pi\)
−0.571205 + 0.820807i \(0.693524\pi\)
\(674\) −21.1125 21.1125i −0.813222 0.813222i
\(675\) −0.548839 + 0.950618i −0.0211248 + 0.0365893i
\(676\) −41.1595 + 33.4932i −1.58306 + 1.28820i
\(677\) −40.1930 + 23.2054i −1.54474 + 0.891857i −0.546212 + 0.837647i \(0.683931\pi\)
−0.998530 + 0.0542097i \(0.982736\pi\)
\(678\) −0.919654 + 0.246420i −0.0353191 + 0.00946372i
\(679\) 4.40430 + 9.72388i 0.169022 + 0.373168i
\(680\) 1.23662 0.713966i 0.0474224 0.0273793i
\(681\) −1.04118 0.278984i −0.0398982 0.0106907i
\(682\) −44.0115 44.0115i −1.68529 1.68529i
\(683\) 2.74654 + 2.74654i 0.105094 + 0.105094i 0.757698 0.652605i \(-0.226324\pi\)
−0.652605 + 0.757698i \(0.726324\pi\)
\(684\) −40.3496 10.8116i −1.54281 0.413394i
\(685\) 18.2594 10.5421i 0.697655 0.402791i
\(686\) 43.7020 + 13.2755i 1.66855 + 0.506863i
\(687\) −2.82285 + 0.756380i −0.107698 + 0.0288577i
\(688\) −27.3765 + 15.8058i −1.04372 + 0.602592i
\(689\) 9.86374 + 14.3152i 0.375779 + 0.545366i
\(690\) −0.335240 + 0.580653i −0.0127624 + 0.0221051i
\(691\) −30.7245 30.7245i −1.16882 1.16882i −0.982487 0.186329i \(-0.940341\pi\)
−0.186329 0.982487i \(-0.559659\pi\)
\(692\) −64.4703 37.2219i −2.45079 1.41497i
\(693\) −35.6552 3.51643i −1.35443 0.133578i
\(694\) −5.00114 + 5.00114i −0.189841 + 0.189841i
\(695\) 7.31054 + 27.2833i 0.277305 + 1.03492i
\(696\) −3.46026 + 3.46026i −0.131161 + 0.131161i
\(697\) −1.20367 + 0.322522i −0.0455922 + 0.0122164i
\(698\) 25.7467 + 14.8649i 0.974527 + 0.562644i
\(699\) −0.105981 + 0.183564i −0.00400857 + 0.00694305i
\(700\) −1.91356 11.5997i −0.0723256 0.438426i
\(701\) 33.2095i 1.25430i −0.778897 0.627152i \(-0.784220\pi\)
0.778897 0.627152i \(-0.215780\pi\)
\(702\) −8.44829 + 3.00304i −0.318860 + 0.113343i
\(703\) −4.63774 2.67760i −0.174916 0.100988i
\(704\) −30.6492 8.21243i −1.15514 0.309518i
\(705\) 2.46882i 0.0929810i
\(706\) −37.6168 65.1542i −1.41573 2.45211i
\(707\) −11.1927 4.21429i −0.420943 0.158495i
\(708\) 2.62879 + 0.704383i 0.0987961 + 0.0264723i
\(709\) −21.4384 + 5.74441i −0.805138 + 0.215736i −0.637838 0.770170i \(-0.720171\pi\)
−0.167299 + 0.985906i \(0.553505\pi\)
\(710\) 5.81415 + 21.6987i 0.218201 + 0.814338i
\(711\) −36.3303 −1.36249
\(712\) 44.6075 1.67174
\(713\) −0.935257 3.49043i −0.0350256 0.130717i
\(714\) −0.0512367 0.113121i −0.00191748 0.00423345i
\(715\) 33.3863 23.0045i 1.24858 0.860319i
\(716\) 48.1299 + 83.3634i 1.79870 + 3.11544i
\(717\) 0.531193 1.98244i 0.0198378 0.0740356i
\(718\) 22.0728 + 38.2313i 0.823751 + 1.42678i
\(719\) −14.2145 + 24.6202i −0.530111 + 0.918180i 0.469272 + 0.883054i \(0.344516\pi\)
−0.999383 + 0.0351257i \(0.988817\pi\)
\(720\) 23.3218 + 23.3218i 0.869153 + 0.869153i
\(721\) 33.3271 + 12.5484i 1.24117 + 0.467327i
\(722\) −4.55687 + 17.0065i −0.169589 + 0.632915i
\(723\) 0.106198 0.396335i 0.00394953 0.0147399i
\(724\) 18.9866i 0.705632i
\(725\) 5.32106 3.07212i 0.197619 0.114096i
\(726\) 2.87648 2.87648i 0.106756 0.106756i
\(727\) −0.462661 −0.0171591 −0.00857957 0.999963i \(-0.502731\pi\)
−0.00857957 + 0.999963i \(0.502731\pi\)
\(728\) 25.2728 41.9546i 0.936674 1.55494i
\(729\) 25.4724 0.943422
\(730\) 10.8256 10.8256i 0.400675 0.400675i
\(731\) 0.685955 0.396036i 0.0253710 0.0146479i
\(732\) 10.5733i 0.390802i
\(733\) −9.38272 + 35.0168i −0.346559 + 1.29337i 0.544222 + 0.838941i \(0.316825\pi\)
−0.890781 + 0.454433i \(0.849842\pi\)
\(734\) −4.61573 + 17.2261i −0.170370 + 0.635828i
\(735\) −2.91048 + 0.189999i −0.107355 + 0.00700823i
\(736\) 0.380514 + 0.380514i 0.0140259 + 0.0140259i
\(737\) −14.3386 + 24.8352i −0.528169 + 0.914816i
\(738\) −40.5102 70.1657i −1.49120 2.58284i
\(739\) −0.379862 + 1.41767i −0.0139735 + 0.0521497i −0.972561 0.232650i \(-0.925260\pi\)
0.958587 + 0.284800i \(0.0919270\pi\)
\(740\) 7.83091 + 13.5635i 0.287870 + 0.498605i
\(741\) −0.702289 1.97571i −0.0257992 0.0725794i
\(742\) −25.5698 18.3281i −0.938695 0.672845i
\(743\) 0.513502 + 1.91642i 0.0188386 + 0.0703065i 0.974705 0.223494i \(-0.0717464\pi\)
−0.955867 + 0.293801i \(0.905080\pi\)
\(744\) 4.80149 0.176031
\(745\) 18.8212 0.689555
\(746\) −15.5854 58.1655i −0.570622 2.12959i
\(747\) 13.5618 3.63386i 0.496199 0.132956i
\(748\) −2.02523 0.542658i −0.0740496 0.0198415i
\(749\) −16.8950 + 13.8617i −0.617332 + 0.506496i
\(750\) −2.00962 3.48077i −0.0733810 0.127100i
\(751\) 18.1843i 0.663555i 0.943358 + 0.331778i \(0.107648\pi\)
−0.943358 + 0.331778i \(0.892352\pi\)
\(752\) 25.7447 + 6.89828i 0.938814 + 0.251554i
\(753\) −2.32462 1.34212i −0.0847137 0.0489095i
\(754\) 49.3583 + 9.08713i 1.79752 + 0.330934i
\(755\) 16.2818i 0.592554i
\(756\) 8.41899 6.90745i 0.306196 0.251221i
\(757\) 2.77153 4.80044i 0.100733 0.174475i −0.811254 0.584694i \(-0.801215\pi\)
0.911987 + 0.410219i \(0.134548\pi\)
\(758\) −18.7385 10.8187i −0.680612 0.392952i
\(759\) 0.485013 0.129959i 0.0176048 0.00471720i
\(760\) −30.8522 + 30.8522i −1.11913 + 1.11913i
\(761\) 11.4195 + 42.6182i 0.413957 + 1.54491i 0.786916 + 0.617060i \(0.211676\pi\)
−0.372960 + 0.927848i \(0.621657\pi\)
\(762\) 1.49221 1.49221i 0.0540569 0.0540569i
\(763\) −28.9579 20.7567i −1.04835 0.751442i
\(764\) 27.2183 + 15.7145i 0.984725 + 0.568531i
\(765\) −0.584359 0.584359i −0.0211276 0.0211276i
\(766\) −21.6907 + 37.5693i −0.783715 + 1.35743i
\(767\) −4.76808 13.4138i −0.172165 0.484343i
\(768\) 4.75111 2.74306i 0.171441 0.0989815i
\(769\) 27.2136 7.29187i 0.981348 0.262951i 0.267736 0.963492i \(-0.413725\pi\)
0.713612 + 0.700541i \(0.247058\pi\)
\(770\) −42.7452 + 59.6345i −1.54043 + 2.14908i
\(771\) −2.07572 + 1.19842i −0.0747552 + 0.0431599i
\(772\) −0.982674 0.263307i −0.0353672 0.00947661i
\(773\) 14.6663 + 14.6663i 0.527511 + 0.527511i 0.919829 0.392319i \(-0.128327\pi\)
−0.392319 + 0.9