Properties

Label 18.6.c.b.7.3
Level $18$
Weight $6$
Character 18.7
Analytic conductor $2.887$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 18 = 2 \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 18.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.88690875663\)
Analytic rank: \(0\)
Dimension: \(6\)
Relative dimension: \(3\) over \(\Q(\zeta_{3})\)
Coefficient field: 6.0.47347183152.3
Defining polynomial: \( x^{6} - 3x^{5} + 118x^{4} - 231x^{3} + 3700x^{2} - 3585x + 32331 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{2}\cdot 3^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 7.3
Root \(0.500000 - 5.23712i\) of defining polynomial
Character \(\chi\) \(=\) 18.7
Dual form 18.6.c.b.13.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.00000 + 3.46410i) q^{2} +(15.5145 + 1.51695i) q^{3} +(-8.00000 - 13.8564i) q^{4} +(33.0434 + 57.2329i) q^{5} +(-36.2838 + 50.7098i) q^{6} +(-57.0952 + 98.8918i) q^{7} +64.0000 q^{8} +(238.398 + 47.0695i) q^{9} +O(q^{10})\) \(q+(-2.00000 + 3.46410i) q^{2} +(15.5145 + 1.51695i) q^{3} +(-8.00000 - 13.8564i) q^{4} +(33.0434 + 57.2329i) q^{5} +(-36.2838 + 50.7098i) q^{6} +(-57.0952 + 98.8918i) q^{7} +64.0000 q^{8} +(238.398 + 47.0695i) q^{9} -264.347 q^{10} +(192.812 - 333.961i) q^{11} +(-103.096 - 227.110i) q^{12} +(-516.287 - 894.236i) q^{13} +(-228.381 - 395.567i) q^{14} +(425.832 + 938.063i) q^{15} +(-128.000 + 221.703i) q^{16} +959.020 q^{17} +(-639.849 + 731.695i) q^{18} -464.576 q^{19} +(528.695 - 915.726i) q^{20} +(-1035.82 + 1447.64i) q^{21} +(771.249 + 1335.84i) q^{22} +(-1151.70 - 1994.81i) q^{23} +(992.926 + 97.0850i) q^{24} +(-621.235 + 1076.01i) q^{25} +4130.30 q^{26} +(3627.21 + 1091.90i) q^{27} +1827.05 q^{28} +(-3549.13 + 6147.28i) q^{29} +(-4101.21 - 401.003i) q^{30} +(-3881.53 - 6723.00i) q^{31} +(-512.000 - 886.810i) q^{32} +(3497.98 - 4888.74i) q^{33} +(-1918.04 + 3322.14i) q^{34} -7546.48 q^{35} +(-1254.97 - 3679.89i) q^{36} +9317.57 q^{37} +(929.153 - 1609.34i) q^{38} +(-6653.41 - 14656.8i) q^{39} +(2114.78 + 3662.90i) q^{40} +(6661.64 + 11538.3i) q^{41} +(-2943.15 - 6483.46i) q^{42} +(1056.29 - 1829.55i) q^{43} -6169.99 q^{44} +(5183.55 + 15199.5i) q^{45} +9213.62 q^{46} +(-1247.40 + 2160.56i) q^{47} +(-2322.16 + 3245.43i) q^{48} +(1883.78 + 3262.80i) q^{49} +(-2484.94 - 4304.04i) q^{50} +(14878.7 + 1454.79i) q^{51} +(-8260.60 + 14307.8i) q^{52} -10044.2 q^{53} +(-11036.9 + 10381.2i) q^{54} +25484.7 q^{55} +(-3654.09 + 6329.07i) q^{56} +(-7207.66 - 704.741i) q^{57} +(-14196.5 - 24589.1i) q^{58} +(-2720.33 - 4711.75i) q^{59} +(9591.53 - 13405.0i) q^{60} +(-17094.4 + 29608.4i) q^{61} +31052.2 q^{62} +(-18266.1 + 20888.1i) q^{63} +4096.00 q^{64} +(34119.8 - 59097.2i) q^{65} +(9939.11 + 21894.8i) q^{66} +(-26792.6 - 46406.2i) q^{67} +(-7672.16 - 13288.6i) q^{68} +(-14842.0 - 32695.5i) q^{69} +(15093.0 - 26141.8i) q^{70} -970.010 q^{71} +(15257.5 + 3012.45i) q^{72} -72400.3 q^{73} +(-18635.1 + 32277.0i) q^{74} +(-11270.4 + 15751.3i) q^{75} +(3716.61 + 6437.36i) q^{76} +(22017.3 + 38135.1i) q^{77} +(64079.4 + 6265.47i) q^{78} +(-16098.9 + 27884.0i) q^{79} -16918.2 q^{80} +(54617.9 + 22442.5i) q^{81} -53293.1 q^{82} +(18046.6 - 31257.6i) q^{83} +(28345.7 + 2771.54i) q^{84} +(31689.3 + 54887.5i) q^{85} +(4225.17 + 7318.21i) q^{86} +(-64388.1 + 89987.9i) q^{87} +(12340.0 - 21373.5i) q^{88} +42622.2 q^{89} +(-63019.8 - 12442.7i) q^{90} +117910. q^{91} +(-18427.2 + 31916.9i) q^{92} +(-50021.4 - 110192. i) q^{93} +(-4989.60 - 8642.25i) q^{94} +(-15351.2 - 26589.0i) q^{95} +(-6598.16 - 14535.1i) q^{96} +(21926.9 - 37978.6i) q^{97} -15070.2 q^{98} +(61685.4 - 70539.9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q - 12 q^{2} + 9 q^{3} - 48 q^{4} - 54 q^{5} - 12 q^{6} - 132 q^{7} + 384 q^{8} - 177 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q - 12 q^{2} + 9 q^{3} - 48 q^{4} - 54 q^{5} - 12 q^{6} - 132 q^{7} + 384 q^{8} - 177 q^{9} + 432 q^{10} - 315 q^{11} - 96 q^{12} - 744 q^{13} - 528 q^{14} + 2286 q^{15} - 768 q^{16} + 2898 q^{17} + 1056 q^{18} + 2262 q^{19} - 864 q^{20} - 11076 q^{21} - 1260 q^{22} - 3168 q^{23} + 576 q^{24} - 2883 q^{25} + 5952 q^{26} + 18144 q^{27} + 4224 q^{28} - 5148 q^{29} - 14400 q^{30} - 8610 q^{31} - 3072 q^{32} + 17469 q^{33} - 5796 q^{34} + 2700 q^{35} - 1392 q^{36} + 39936 q^{37} - 4524 q^{38} - 49026 q^{39} - 3456 q^{40} + 5049 q^{41} + 41352 q^{42} - 31389 q^{43} + 10080 q^{44} + 2538 q^{45} + 25344 q^{46} + 12924 q^{47} - 768 q^{48} - 52857 q^{49} - 11532 q^{50} + 36837 q^{51} - 11904 q^{52} - 96048 q^{53} - 71892 q^{54} + 126252 q^{55} - 8448 q^{56} - 17469 q^{57} - 20592 q^{58} + 62955 q^{59} + 21024 q^{60} - 75966 q^{61} + 68880 q^{62} + 49578 q^{63} + 24576 q^{64} + 108702 q^{65} + 2952 q^{66} - 32991 q^{67} - 23184 q^{68} - 29250 q^{69} - 5400 q^{70} - 129672 q^{71} - 11328 q^{72} - 8466 q^{73} - 79872 q^{74} - 105483 q^{75} - 18096 q^{76} + 88740 q^{77} + 171720 q^{78} + 89202 q^{79} + 27648 q^{80} + 123435 q^{81} - 40392 q^{82} + 32634 q^{83} + 11808 q^{84} + 71388 q^{85} - 125556 q^{86} - 151524 q^{87} - 20160 q^{88} + 66132 q^{89} - 263088 q^{90} - 301836 q^{91} - 50688 q^{92} + 57678 q^{93} + 51696 q^{94} - 82944 q^{95} - 6144 q^{96} + 46245 q^{97} + 422856 q^{98} + 282168 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).

\(n\) \(11\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.00000 + 3.46410i −0.353553 + 0.612372i
\(3\) 15.5145 + 1.51695i 0.995254 + 0.0973126i
\(4\) −8.00000 13.8564i −0.250000 0.433013i
\(5\) 33.0434 + 57.2329i 0.591099 + 1.02381i 0.994085 + 0.108607i \(0.0346389\pi\)
−0.402986 + 0.915206i \(0.632028\pi\)
\(6\) −36.2838 + 50.7098i −0.411467 + 0.575061i
\(7\) −57.0952 + 98.8918i −0.440407 + 0.762808i −0.997720 0.0674952i \(-0.978499\pi\)
0.557312 + 0.830303i \(0.311833\pi\)
\(8\) 64.0000 0.353553
\(9\) 238.398 + 47.0695i 0.981061 + 0.193702i
\(10\) −264.347 −0.835940
\(11\) 192.812 333.961i 0.480455 0.832173i −0.519293 0.854596i \(-0.673805\pi\)
0.999749 + 0.0224231i \(0.00713811\pi\)
\(12\) −103.096 227.110i −0.206676 0.455286i
\(13\) −516.287 894.236i −0.847292 1.46755i −0.883616 0.468212i \(-0.844898\pi\)
0.0363242 0.999340i \(-0.488435\pi\)
\(14\) −228.381 395.567i −0.311415 0.539386i
\(15\) 425.832 + 938.063i 0.488663 + 1.07648i
\(16\) −128.000 + 221.703i −0.125000 + 0.216506i
\(17\) 959.020 0.804832 0.402416 0.915457i \(-0.368171\pi\)
0.402416 + 0.915457i \(0.368171\pi\)
\(18\) −639.849 + 731.695i −0.465475 + 0.532291i
\(19\) −464.576 −0.295239 −0.147619 0.989044i \(-0.547161\pi\)
−0.147619 + 0.989044i \(0.547161\pi\)
\(20\) 528.695 915.726i 0.295549 0.511906i
\(21\) −1035.82 + 1447.64i −0.512548 + 0.716330i
\(22\) 771.249 + 1335.84i 0.339733 + 0.588435i
\(23\) −1151.70 1994.81i −0.453963 0.786288i 0.544664 0.838654i \(-0.316657\pi\)
−0.998628 + 0.0523662i \(0.983324\pi\)
\(24\) 992.926 + 97.0850i 0.351875 + 0.0344052i
\(25\) −621.235 + 1076.01i −0.198795 + 0.344323i
\(26\) 4130.30 1.19825
\(27\) 3627.21 + 1091.90i 0.957555 + 0.288252i
\(28\) 1827.05 0.440407
\(29\) −3549.13 + 6147.28i −0.783659 + 1.35734i 0.146138 + 0.989264i \(0.453316\pi\)
−0.929797 + 0.368073i \(0.880018\pi\)
\(30\) −4101.21 401.003i −0.831972 0.0813475i
\(31\) −3881.53 6723.00i −0.725435 1.25649i −0.958795 0.284100i \(-0.908305\pi\)
0.233360 0.972391i \(-0.425028\pi\)
\(32\) −512.000 886.810i −0.0883883 0.153093i
\(33\) 3497.98 4888.74i 0.559156 0.781469i
\(34\) −1918.04 + 3322.14i −0.284551 + 0.492857i
\(35\) −7546.48 −1.04130
\(36\) −1254.97 3679.89i −0.161390 0.473237i
\(37\) 9317.57 1.11892 0.559459 0.828858i \(-0.311009\pi\)
0.559459 + 0.828858i \(0.311009\pi\)
\(38\) 929.153 1609.34i 0.104383 0.180796i
\(39\) −6653.41 14656.8i −0.700459 1.54304i
\(40\) 2114.78 + 3662.90i 0.208985 + 0.361972i
\(41\) 6661.64 + 11538.3i 0.618901 + 1.07197i 0.989687 + 0.143250i \(0.0457552\pi\)
−0.370785 + 0.928719i \(0.620911\pi\)
\(42\) −2943.15 6483.46i −0.257448 0.567131i
\(43\) 1056.29 1829.55i 0.0871190 0.150895i −0.819173 0.573546i \(-0.805567\pi\)
0.906292 + 0.422652i \(0.138901\pi\)
\(44\) −6169.99 −0.480455
\(45\) 5183.55 + 15199.5i 0.381589 + 1.11892i
\(46\) 9213.62 0.642001
\(47\) −1247.40 + 2160.56i −0.0823686 + 0.142667i −0.904267 0.426968i \(-0.859582\pi\)
0.821898 + 0.569634i \(0.192915\pi\)
\(48\) −2322.16 + 3245.43i −0.145476 + 0.203315i
\(49\) 1883.78 + 3262.80i 0.112083 + 0.194133i
\(50\) −2484.94 4304.04i −0.140569 0.243473i
\(51\) 14878.7 + 1454.79i 0.801012 + 0.0783203i
\(52\) −8260.60 + 14307.8i −0.423646 + 0.733776i
\(53\) −10044.2 −0.491163 −0.245582 0.969376i \(-0.578979\pi\)
−0.245582 + 0.969376i \(0.578979\pi\)
\(54\) −11036.9 + 10381.2i −0.515064 + 0.484468i
\(55\) 25484.7 1.13599
\(56\) −3654.09 + 6329.07i −0.155707 + 0.269693i
\(57\) −7207.66 704.741i −0.293837 0.0287304i
\(58\) −14196.5 24589.1i −0.554131 0.959783i
\(59\) −2720.33 4711.75i −0.101740 0.176219i 0.810662 0.585515i \(-0.199108\pi\)
−0.912402 + 0.409296i \(0.865774\pi\)
\(60\) 9591.53 13405.0i 0.343962 0.480716i
\(61\) −17094.4 + 29608.4i −0.588206 + 1.01880i 0.406261 + 0.913757i \(0.366832\pi\)
−0.994467 + 0.105046i \(0.966501\pi\)
\(62\) 31052.2 1.02592
\(63\) −18266.1 + 20888.1i −0.579823 + 0.663053i
\(64\) 4096.00 0.125000
\(65\) 34119.8 59097.2i 1.00167 1.73494i
\(66\) 9939.11 + 21894.8i 0.280859 + 0.618703i
\(67\) −26792.6 46406.2i −0.729169 1.26296i −0.957235 0.289311i \(-0.906574\pi\)
0.228066 0.973646i \(-0.426760\pi\)
\(68\) −7672.16 13288.6i −0.201208 0.348503i
\(69\) −14842.0 32695.5i −0.375293 0.826732i
\(70\) 15093.0 26141.8i 0.368154 0.637661i
\(71\) −970.010 −0.0228365 −0.0114183 0.999935i \(-0.503635\pi\)
−0.0114183 + 0.999935i \(0.503635\pi\)
\(72\) 15257.5 + 3012.45i 0.346857 + 0.0684838i
\(73\) −72400.3 −1.59013 −0.795066 0.606523i \(-0.792564\pi\)
−0.795066 + 0.606523i \(0.792564\pi\)
\(74\) −18635.1 + 32277.0i −0.395597 + 0.685195i
\(75\) −11270.4 + 15751.3i −0.231359 + 0.323344i
\(76\) 3716.61 + 6437.36i 0.0738097 + 0.127842i
\(77\) 22017.3 + 38135.1i 0.423192 + 0.732990i
\(78\) 64079.4 + 6265.47i 1.19256 + 0.116605i
\(79\) −16098.9 + 27884.0i −0.290220 + 0.502676i −0.973862 0.227142i \(-0.927062\pi\)
0.683642 + 0.729818i \(0.260395\pi\)
\(80\) −16918.2 −0.295549
\(81\) 54617.9 + 22442.5i 0.924959 + 0.380066i
\(82\) −53293.1 −0.875258
\(83\) 18046.6 31257.6i 0.287541 0.498036i −0.685681 0.727902i \(-0.740496\pi\)
0.973222 + 0.229866i \(0.0738289\pi\)
\(84\) 28345.7 + 2771.54i 0.438317 + 0.0428572i
\(85\) 31689.3 + 54887.5i 0.475735 + 0.823998i
\(86\) 4225.17 + 7318.21i 0.0616024 + 0.106699i
\(87\) −64388.1 + 89987.9i −0.912026 + 1.27464i
\(88\) 12340.0 21373.5i 0.169867 0.294218i
\(89\) 42622.2 0.570375 0.285188 0.958472i \(-0.407944\pi\)
0.285188 + 0.958472i \(0.407944\pi\)
\(90\) −63019.8 12442.7i −0.820107 0.161923i
\(91\) 117910. 1.49261
\(92\) −18427.2 + 31916.9i −0.226982 + 0.393144i
\(93\) −50021.4 110192.i −0.599720 1.32112i
\(94\) −4989.60 8642.25i −0.0582434 0.100880i
\(95\) −15351.2 26589.0i −0.174515 0.302269i
\(96\) −6598.16 14535.1i −0.0730710 0.160968i
\(97\) 21926.9 37978.6i 0.236618 0.409835i −0.723123 0.690719i \(-0.757294\pi\)
0.959742 + 0.280884i \(0.0906275\pi\)
\(98\) −15070.2 −0.158509
\(99\) 61685.4 70539.9i 0.632549 0.723347i
\(100\) 19879.5 0.198795
\(101\) −12056.7 + 20882.8i −0.117604 + 0.203697i −0.918818 0.394682i \(-0.870855\pi\)
0.801213 + 0.598379i \(0.204188\pi\)
\(102\) −34796.9 + 48631.7i −0.331162 + 0.462827i
\(103\) 68610.4 + 118837.i 0.637231 + 1.10372i 0.986038 + 0.166522i \(0.0532536\pi\)
−0.348807 + 0.937195i \(0.613413\pi\)
\(104\) −33042.4 57231.1i −0.299563 0.518858i
\(105\) −117080. 11447.7i −1.03635 0.101331i
\(106\) 20088.4 34794.2i 0.173652 0.300775i
\(107\) −167979. −1.41839 −0.709195 0.705012i \(-0.750941\pi\)
−0.709195 + 0.705012i \(0.750941\pi\)
\(108\) −13887.9 58995.3i −0.114572 0.486696i
\(109\) −21224.0 −0.171104 −0.0855521 0.996334i \(-0.527265\pi\)
−0.0855521 + 0.996334i \(0.527265\pi\)
\(110\) −50969.4 + 88281.6i −0.401632 + 0.695646i
\(111\) 144557. + 14134.3i 1.11361 + 0.108885i
\(112\) −14616.4 25316.3i −0.110102 0.190702i
\(113\) 14420.8 + 24977.5i 0.106241 + 0.184015i 0.914245 0.405163i \(-0.132785\pi\)
−0.808003 + 0.589178i \(0.799452\pi\)
\(114\) 16856.6 23558.6i 0.121481 0.169780i
\(115\) 76112.4 131831.i 0.536674 0.929547i
\(116\) 113572. 0.783659
\(117\) −80990.5 237485.i −0.546977 1.60388i
\(118\) 21762.6 0.143882
\(119\) −54755.4 + 94839.2i −0.354454 + 0.613932i
\(120\) 27253.2 + 60036.0i 0.172769 + 0.380591i
\(121\) 6172.35 + 10690.8i 0.0383255 + 0.0663816i
\(122\) −68377.6 118434.i −0.415925 0.720402i
\(123\) 85848.7 + 189116.i 0.511648 + 1.12711i
\(124\) −62104.5 + 107568.i −0.362718 + 0.628245i
\(125\) 124410. 0.712167
\(126\) −35826.3 105052.i −0.201037 0.589492i
\(127\) −215062. −1.18319 −0.591594 0.806236i \(-0.701501\pi\)
−0.591594 + 0.806236i \(0.701501\pi\)
\(128\) −8192.00 + 14189.0i −0.0441942 + 0.0765466i
\(129\) 19163.2 26782.2i 0.101389 0.141701i
\(130\) 136479. + 236389.i 0.708285 + 1.22679i
\(131\) 94654.7 + 163947.i 0.481908 + 0.834688i 0.999784 0.0207668i \(-0.00661075\pi\)
−0.517877 + 0.855455i \(0.673277\pi\)
\(132\) −95724.2 9359.59i −0.478175 0.0467544i
\(133\) 26525.1 45942.8i 0.130025 0.225210i
\(134\) 214341. 1.03120
\(135\) 57363.1 + 243676.i 0.270893 + 1.15074i
\(136\) 61377.3 0.284551
\(137\) 1809.78 3134.63i 0.00823805 0.0142687i −0.861877 0.507117i \(-0.830711\pi\)
0.870115 + 0.492849i \(0.164044\pi\)
\(138\) 142945. + 13976.6i 0.638954 + 0.0624748i
\(139\) −60440.1 104685.i −0.265331 0.459567i 0.702319 0.711862i \(-0.252148\pi\)
−0.967650 + 0.252295i \(0.918815\pi\)
\(140\) 60371.8 + 104567.i 0.260324 + 0.450895i
\(141\) −22630.2 + 31627.7i −0.0958609 + 0.133974i
\(142\) 1940.02 3360.21i 0.00807394 0.0139845i
\(143\) −398186. −1.62834
\(144\) −40950.3 + 46828.5i −0.164570 + 0.188193i
\(145\) −469102. −1.85288
\(146\) 144801. 250802.i 0.562197 0.973753i
\(147\) 24276.3 + 53478.2i 0.0926594 + 0.204119i
\(148\) −74540.6 129108.i −0.279730 0.484506i
\(149\) −37408.2 64792.9i −0.138039 0.239090i 0.788715 0.614758i \(-0.210746\pi\)
−0.926754 + 0.375668i \(0.877413\pi\)
\(150\) −32023.5 70544.5i −0.116209 0.255997i
\(151\) 179976. 311728.i 0.642352 1.11259i −0.342554 0.939498i \(-0.611292\pi\)
0.984906 0.173088i \(-0.0553745\pi\)
\(152\) −29732.9 −0.104383
\(153\) 228628. + 45140.6i 0.789589 + 0.155897i
\(154\) −176138. −0.598484
\(155\) 256518. 444302.i 0.857607 1.48542i
\(156\) −149863. + 209447.i −0.493041 + 0.689068i
\(157\) −23983.3 41540.3i −0.0776533 0.134499i 0.824584 0.565740i \(-0.191409\pi\)
−0.902237 + 0.431241i \(0.858076\pi\)
\(158\) −64395.4 111536.i −0.205217 0.355446i
\(159\) −155831. 15236.6i −0.488832 0.0477964i
\(160\) 33836.5 58606.5i 0.104492 0.180986i
\(161\) 263027. 0.799715
\(162\) −186979. + 144317.i −0.559764 + 0.432046i
\(163\) 361063. 1.06442 0.532212 0.846611i \(-0.321361\pi\)
0.532212 + 0.846611i \(0.321361\pi\)
\(164\) 106586. 184613.i 0.309451 0.535984i
\(165\) 395382. + 38659.1i 1.13059 + 0.110546i
\(166\) 72186.3 + 125030.i 0.203322 + 0.352164i
\(167\) −58233.2 100863.i −0.161577 0.279860i 0.773857 0.633360i \(-0.218325\pi\)
−0.935434 + 0.353500i \(0.884991\pi\)
\(168\) −66292.2 + 92649.1i −0.181213 + 0.253261i
\(169\) −347458. + 601816.i −0.935807 + 1.62086i
\(170\) −253514. −0.672791
\(171\) −110754. 21867.4i −0.289647 0.0571882i
\(172\) −33801.4 −0.0871190
\(173\) −51762.9 + 89656.0i −0.131493 + 0.227753i −0.924252 0.381782i \(-0.875311\pi\)
0.792759 + 0.609535i \(0.208644\pi\)
\(174\) −182951. 403023.i −0.458102 1.00915i
\(175\) −70939.0 122870.i −0.175102 0.303285i
\(176\) 49359.9 + 85493.9i 0.120114 + 0.208043i
\(177\) −35057.0 77226.9i −0.0841088 0.185283i
\(178\) −85244.4 + 147648.i −0.201658 + 0.349282i
\(179\) −78941.2 −0.184150 −0.0920748 0.995752i \(-0.529350\pi\)
−0.0920748 + 0.995752i \(0.529350\pi\)
\(180\) 169142. 193422.i 0.389109 0.444963i
\(181\) 586108. 1.32978 0.664892 0.746940i \(-0.268478\pi\)
0.664892 + 0.746940i \(0.268478\pi\)
\(182\) −235820. + 408452.i −0.527719 + 0.914035i
\(183\) −310125. + 433427.i −0.684557 + 0.956728i
\(184\) −73709.0 127668.i −0.160500 0.277995i
\(185\) 307884. + 533271.i 0.661391 + 1.14556i
\(186\) 481759. + 47104.8i 1.02105 + 0.0998350i
\(187\) 184911. 320275.i 0.386686 0.669760i
\(188\) 39916.8 0.0823686
\(189\) −315076. + 296359.i −0.641595 + 0.603482i
\(190\) 122810. 0.246802
\(191\) −386026. + 668617.i −0.765656 + 1.32615i 0.174243 + 0.984703i \(0.444252\pi\)
−0.939899 + 0.341452i \(0.889081\pi\)
\(192\) 63547.3 + 6213.44i 0.124407 + 0.0121641i
\(193\) 8719.67 + 15102.9i 0.0168503 + 0.0291855i 0.874328 0.485336i \(-0.161303\pi\)
−0.857477 + 0.514522i \(0.827969\pi\)
\(194\) 87707.8 + 151914.i 0.167315 + 0.289797i
\(195\) 618998. 865104.i 1.16574 1.62923i
\(196\) 30140.5 52204.8i 0.0560415 0.0970667i
\(197\) 340729. 0.625524 0.312762 0.949832i \(-0.398746\pi\)
0.312762 + 0.949832i \(0.398746\pi\)
\(198\) 120987. + 354764.i 0.219318 + 0.643097i
\(199\) 14239.7 0.0254899 0.0127450 0.999919i \(-0.495943\pi\)
0.0127450 + 0.999919i \(0.495943\pi\)
\(200\) −39759.0 + 68864.7i −0.0702847 + 0.121737i
\(201\) −345277. 760610.i −0.602806 1.32792i
\(202\) −48226.7 83531.1i −0.0831589 0.144036i
\(203\) −405277. 701960.i −0.690258 1.19556i
\(204\) −98871.4 217803.i −0.166339 0.366429i
\(205\) −440246. + 762529.i −0.731663 + 1.26728i
\(206\) −548883. −0.901181
\(207\) −180669. 529768.i −0.293061 0.859329i
\(208\) 264339. 0.423646
\(209\) −89576.0 + 155150.i −0.141849 + 0.245690i
\(210\) 273815. 382681.i 0.428459 0.598809i
\(211\) 24049.2 + 41654.4i 0.0371873 + 0.0644102i 0.884020 0.467449i \(-0.154827\pi\)
−0.846833 + 0.531859i \(0.821494\pi\)
\(212\) 80353.7 + 139177.i 0.122791 + 0.212680i
\(213\) −15049.2 1471.46i −0.0227282 0.00222228i
\(214\) 335958. 581897.i 0.501477 0.868583i
\(215\) 139614. 0.205984
\(216\) 232142. + 69881.4i 0.338547 + 0.101912i
\(217\) 886466. 1.27795
\(218\) 42448.0 73522.1i 0.0604945 0.104780i
\(219\) −1.12325e6 109828.i −1.58258 0.154740i
\(220\) −203878. 353126.i −0.283996 0.491896i
\(221\) −495130. 857590.i −0.681928 1.18113i
\(222\) −338077. + 472492.i −0.460398 + 0.643446i
\(223\) −391988. + 678944.i −0.527851 + 0.914264i 0.471622 + 0.881801i \(0.343669\pi\)
−0.999473 + 0.0324633i \(0.989665\pi\)
\(224\) 116931. 0.155707
\(225\) −198748. + 227277.i −0.261726 + 0.299295i
\(226\) −115366. −0.150248
\(227\) 277898. 481334.i 0.357949 0.619986i −0.629669 0.776863i \(-0.716810\pi\)
0.987618 + 0.156878i \(0.0501428\pi\)
\(228\) 47896.1 + 105510.i 0.0610187 + 0.134418i
\(229\) −57346.2 99326.6i −0.0722630 0.125163i 0.827630 0.561274i \(-0.189689\pi\)
−0.899893 + 0.436111i \(0.856355\pi\)
\(230\) 304450. + 527322.i 0.379486 + 0.657289i
\(231\) 283738. + 625045.i 0.349854 + 0.770693i
\(232\) −227144. + 393426.i −0.277065 + 0.479891i
\(233\) −111177. −0.134161 −0.0670805 0.997748i \(-0.521368\pi\)
−0.0670805 + 0.997748i \(0.521368\pi\)
\(234\) 984653. + 194411.i 1.17556 + 0.232103i
\(235\) −164874. −0.194752
\(236\) −43525.3 + 75388.0i −0.0508700 + 0.0881094i
\(237\) −292064. + 408185.i −0.337759 + 0.472048i
\(238\) −219022. 379357.i −0.250637 0.434116i
\(239\) 369523. + 640033.i 0.418453 + 0.724782i 0.995784 0.0917279i \(-0.0292390\pi\)
−0.577331 + 0.816510i \(0.695906\pi\)
\(240\) −262477. 25664.2i −0.294147 0.0287607i
\(241\) 645180. 1.11748e6i 0.715547 1.23936i −0.247201 0.968964i \(-0.579511\pi\)
0.962748 0.270400i \(-0.0871559\pi\)
\(242\) −49378.8 −0.0542004
\(243\) 813324. + 431036.i 0.883584 + 0.468272i
\(244\) 547021. 0.588206
\(245\) −124493. + 215628.i −0.132504 + 0.229504i
\(246\) −826814. 80843.1i −0.871104 0.0851737i
\(247\) 239855. + 415441.i 0.250153 + 0.433278i
\(248\) −248418. 430272.i −0.256480 0.444236i
\(249\) 327400. 457569.i 0.334641 0.467690i
\(250\) −248821. + 430971.i −0.251789 + 0.436111i
\(251\) 1.29383e6 1.29626 0.648129 0.761530i \(-0.275552\pi\)
0.648129 + 0.761530i \(0.275552\pi\)
\(252\) 435564. + 85998.1i 0.432066 + 0.0853075i
\(253\) −888250. −0.872437
\(254\) 430123. 744996.i 0.418320 0.724552i
\(255\) 408381. + 899621.i 0.393292 + 0.866382i
\(256\) −32768.0 56755.8i −0.0312500 0.0541266i
\(257\) −312181. 540713.i −0.294831 0.510663i 0.680114 0.733106i \(-0.261930\pi\)
−0.974946 + 0.222443i \(0.928597\pi\)
\(258\) 54449.9 + 119948.i 0.0509270 + 0.112187i
\(259\) −531988. + 921431.i −0.492780 + 0.853519i
\(260\) −1.09183e6 −1.00167
\(261\) −1.13545e6 + 1.29844e6i −1.03174 + 1.17983i
\(262\) −757237. −0.681520
\(263\) 582495. 1.00891e6i 0.519281 0.899421i −0.480468 0.877012i \(-0.659533\pi\)
0.999749 0.0224089i \(-0.00713358\pi\)
\(264\) 223871. 312879.i 0.197691 0.276291i
\(265\) −331895. 574859.i −0.290326 0.502859i
\(266\) 106100. + 183771.i 0.0919417 + 0.159248i
\(267\) 661261. + 64655.9i 0.567668 + 0.0555047i
\(268\) −428682. + 742498.i −0.364584 + 0.631479i
\(269\) 1.58951e6 1.33932 0.669659 0.742669i \(-0.266440\pi\)
0.669659 + 0.742669i \(0.266440\pi\)
\(270\) −958844. 288640.i −0.800458 0.240961i
\(271\) −977878. −0.808837 −0.404419 0.914574i \(-0.632526\pi\)
−0.404419 + 0.914574i \(0.632526\pi\)
\(272\) −122755. + 212617.i −0.100604 + 0.174251i
\(273\) 1.82931e6 + 178864.i 1.48553 + 0.145250i
\(274\) 7239.12 + 12538.5i 0.00582518 + 0.0100895i
\(275\) 239563. + 414936.i 0.191024 + 0.330864i
\(276\) −334306. + 467221.i −0.264162 + 0.369190i
\(277\) 645243. 1.11759e6i 0.505271 0.875154i −0.494711 0.869058i \(-0.664726\pi\)
0.999981 0.00609677i \(-0.00194067\pi\)
\(278\) 483521. 0.375235
\(279\) −608899. 1.78545e6i −0.468312 1.37321i
\(280\) −482975. −0.368154
\(281\) −833662. + 1.44395e6i −0.629831 + 1.09090i 0.357754 + 0.933816i \(0.383543\pi\)
−0.987585 + 0.157084i \(0.949791\pi\)
\(282\) −64301.2 141649.i −0.0481500 0.106069i
\(283\) −564568. 977861.i −0.419035 0.725790i 0.576808 0.816880i \(-0.304298\pi\)
−0.995843 + 0.0910901i \(0.970965\pi\)
\(284\) 7760.08 + 13440.9i 0.00570914 + 0.00988852i
\(285\) −197831. 435802.i −0.144272 0.317817i
\(286\) 796372. 1.37936e6i 0.575706 0.997152i
\(287\) −1.52139e6 −1.09027
\(288\) −80318.0 235513.i −0.0570600 0.167315i
\(289\) −500138. −0.352245
\(290\) 938204. 1.62502e6i 0.655092 1.13465i
\(291\) 397797. 555955.i 0.275378 0.384864i
\(292\) 579202. + 1.00321e6i 0.397533 + 0.688547i
\(293\) −1.02815e6 1.78081e6i −0.699663 1.21185i −0.968583 0.248689i \(-0.920000\pi\)
0.268921 0.963162i \(-0.413333\pi\)
\(294\) −233807. 22860.8i −0.157757 0.0154249i
\(295\) 179778. 311385.i 0.120277 0.208325i
\(296\) 596324. 0.395597
\(297\) 1.06402e6 1.00082e6i 0.699937 0.658359i
\(298\) 299265. 0.195216
\(299\) −1.18922e6 + 2.05979e6i −0.769279 + 1.33243i
\(300\) 308420. + 30156.3i 0.197852 + 0.0193453i
\(301\) 120618. + 208917.i 0.0767357 + 0.132910i
\(302\) 719905. + 1.24691e6i 0.454211 + 0.786717i
\(303\) −218731. + 305696.i −0.136869 + 0.191286i
\(304\) 59465.8 102998.i 0.0369048 0.0639210i
\(305\) −2.25943e6 −1.39075
\(306\) −613628. + 701710.i −0.374629 + 0.428405i
\(307\) 1.52149e6 0.921346 0.460673 0.887570i \(-0.347608\pi\)
0.460673 + 0.887570i \(0.347608\pi\)
\(308\) 352277. 610162.i 0.211596 0.366495i
\(309\) 884184. + 1.94777e6i 0.526801 + 1.16049i
\(310\) 1.02607e6 + 1.77721e6i 0.606420 + 1.05035i
\(311\) 1.35420e6 + 2.34554e6i 0.793928 + 1.37512i 0.923517 + 0.383556i \(0.125301\pi\)
−0.129589 + 0.991568i \(0.541366\pi\)
\(312\) −425818. 938034.i −0.247650 0.545547i
\(313\) 325583. 563926.i 0.187845 0.325358i −0.756686 0.653778i \(-0.773183\pi\)
0.944532 + 0.328420i \(0.106516\pi\)
\(314\) 191866. 0.109818
\(315\) −1.79906e6 355209.i −1.02157 0.201701i
\(316\) 515164. 0.290220
\(317\) 58055.3 100555.i 0.0324484 0.0562024i −0.849345 0.527838i \(-0.823003\pi\)
0.881794 + 0.471636i \(0.156336\pi\)
\(318\) 364442. 509340.i 0.202098 0.282449i
\(319\) 1.36863e6 + 2.37054e6i 0.753026 + 1.30428i
\(320\) 135346. + 234426.i 0.0738873 + 0.127977i
\(321\) −2.60611e6 254816.i −1.41166 0.138027i
\(322\) −526054. + 911152.i −0.282742 + 0.489724i
\(323\) −445538. −0.237618
\(324\) −125971. 936348.i −0.0666666 0.495536i
\(325\) 1.28294e6 0.673750
\(326\) −722127. + 1.25076e6i −0.376331 + 0.651824i
\(327\) −329279. 32195.8i −0.170292 0.0166506i
\(328\) 426345. + 738451.i 0.218815 + 0.378998i
\(329\) −142441. 246715.i −0.0725514 0.125663i
\(330\) −924683. + 1.29232e6i −0.467421 + 0.653261i
\(331\) −158828. + 275099.i −0.0796816 + 0.138013i −0.903113 0.429404i \(-0.858724\pi\)
0.823431 + 0.567416i \(0.192057\pi\)
\(332\) −577491. −0.287541
\(333\) 2.22129e6 + 438573.i 1.09773 + 0.216736i
\(334\) 465866. 0.228504
\(335\) 1.77064e6 3.06684e6i 0.862021 1.49306i
\(336\) −188362. 414941.i −0.0910215 0.200511i
\(337\) −215275. 372867.i −0.103257 0.178846i 0.809768 0.586750i \(-0.199593\pi\)
−0.913025 + 0.407904i \(0.866260\pi\)
\(338\) −1.38983e6 2.40726e6i −0.661715 1.14612i
\(339\) 185841. + 409389.i 0.0878299 + 0.193480i
\(340\) 507029. 878200.i 0.237868 0.411999i
\(341\) −2.99363e6 −1.39416
\(342\) 297259. 339928.i 0.137426 0.157153i
\(343\) −2.34942e6 −1.07826
\(344\) 67602.7 117091.i 0.0308012 0.0533493i
\(345\) 1.38082e6 1.92982e6i 0.624584 0.872910i
\(346\) −207052. 358624.i −0.0929798 0.161046i
\(347\) 2.07020e6 + 3.58569e6i 0.922971 + 1.59863i 0.794793 + 0.606881i \(0.207580\pi\)
0.128178 + 0.991751i \(0.459087\pi\)
\(348\) 1.76201e6 + 172284.i 0.779940 + 0.0762599i
\(349\) 1.73048e6 2.99727e6i 0.760505 1.31723i −0.182085 0.983283i \(-0.558285\pi\)
0.942590 0.333951i \(-0.108382\pi\)
\(350\) 567512. 0.247631
\(351\) −896271. 3.80731e6i −0.388304 1.64949i
\(352\) −394880. −0.169867
\(353\) −1.32229e6 + 2.29027e6i −0.564792 + 0.978249i 0.432277 + 0.901741i \(0.357710\pi\)
−0.997069 + 0.0765076i \(0.975623\pi\)
\(354\) 337636. + 33012.9i 0.143199 + 0.0140015i
\(355\) −32052.5 55516.5i −0.0134987 0.0233804i
\(356\) −340977. 590590.i −0.142594 0.246980i
\(357\) −993368. + 1.38832e6i −0.412515 + 0.576526i
\(358\) 157882. 273460.i 0.0651067 0.112768i
\(359\) 2.13123e6 0.872761 0.436380 0.899762i \(-0.356260\pi\)
0.436380 + 0.899762i \(0.356260\pi\)
\(360\) 331747. + 972769.i 0.134912 + 0.395598i
\(361\) −2.26027e6 −0.912834
\(362\) −1.17222e6 + 2.03034e6i −0.470149 + 0.814323i
\(363\) 79543.3 + 175226.i 0.0316838 + 0.0697961i
\(364\) −943281. 1.63381e6i −0.373153 0.646321i
\(365\) −2.39235e6 4.14368e6i −0.939925 1.62800i
\(366\) −881185. 1.94116e6i −0.343846 0.757458i
\(367\) 640035. 1.10857e6i 0.248049 0.429634i −0.714935 0.699191i \(-0.753544\pi\)
0.962985 + 0.269557i \(0.0868771\pi\)
\(368\) 589672. 0.226982
\(369\) 1.04502e6 + 3.06426e6i 0.399538 + 1.17155i
\(370\) −2.46307e6 −0.935348
\(371\) 573476. 993289.i 0.216312 0.374663i
\(372\) −1.12669e6 + 1.57465e6i −0.422132 + 0.589966i
\(373\) 1.94733e6 + 3.37288e6i 0.724716 + 1.25524i 0.959091 + 0.283099i \(0.0913623\pi\)
−0.234375 + 0.972146i \(0.575304\pi\)
\(374\) 739643. + 1.28110e6i 0.273428 + 0.473592i
\(375\) 1.93016e6 + 188725.i 0.708787 + 0.0693028i
\(376\) −79833.7 + 138276.i −0.0291217 + 0.0504402i
\(377\) 7.32949e6 2.65595
\(378\) −396467. 1.68417e6i −0.142718 0.606258i
\(379\) −2.83335e6 −1.01322 −0.506609 0.862176i \(-0.669101\pi\)
−0.506609 + 0.862176i \(0.669101\pi\)
\(380\) −245619. + 425425.i −0.0872576 + 0.151135i
\(381\) −3.33657e6 326239.i −1.17757 0.115139i
\(382\) −1.54411e6 2.67447e6i −0.541400 0.937733i
\(383\) −1.18249e6 2.04814e6i −0.411909 0.713448i 0.583189 0.812336i \(-0.301805\pi\)
−0.995099 + 0.0988883i \(0.968471\pi\)
\(384\) −148619. + 207707.i −0.0514334 + 0.0718826i
\(385\) −1.45505e6 + 2.52023e6i −0.500296 + 0.866539i
\(386\) −69757.3 −0.0238299
\(387\) 337934. 386442.i 0.114698 0.131162i
\(388\) −701662. −0.236618
\(389\) 871692. 1.50981e6i 0.292071 0.505882i −0.682228 0.731139i \(-0.738989\pi\)
0.974299 + 0.225257i \(0.0723222\pi\)
\(390\) 1.75881e6 + 3.87448e6i 0.585542 + 1.28989i
\(391\) −1.10451e6 1.91306e6i −0.365364 0.632830i
\(392\) 120562. + 208819.i 0.0396273 + 0.0686365i
\(393\) 1.21982e6 + 2.68713e6i 0.398395 + 0.877623i
\(394\) −681458. + 1.18032e6i −0.221156 + 0.383053i
\(395\) −2.12785e6 −0.686195
\(396\) −1.47091e6 290418.i −0.471356 0.0930649i
\(397\) 4.81109e6 1.53203 0.766015 0.642823i \(-0.222237\pi\)
0.766015 + 0.642823i \(0.222237\pi\)
\(398\) −28479.4 + 49327.8i −0.00901205 + 0.0156093i
\(399\) 481216. 672541.i 0.151324 0.211488i
\(400\) −159036. 275459.i −0.0496988 0.0860808i
\(401\) 2.27703e6 + 3.94394e6i 0.707145 + 1.22481i 0.965912 + 0.258871i \(0.0833506\pi\)
−0.258767 + 0.965940i \(0.583316\pi\)
\(402\) 3.32539e6 + 325145.i 1.02631 + 0.100349i
\(403\) −4.00797e6 + 6.94200e6i −1.22931 + 2.12923i
\(404\) 385813. 0.117604
\(405\) 520314. + 3.86752e6i 0.157626 + 1.17164i
\(406\) 3.24221e6 0.976173
\(407\) 1.79654e6 3.11170e6i 0.537590 0.931133i
\(408\) 952236. + 93106.5i 0.283201 + 0.0276904i
\(409\) −956414. 1.65656e6i −0.282708 0.489664i 0.689343 0.724435i \(-0.257899\pi\)
−0.972051 + 0.234771i \(0.924566\pi\)
\(410\) −1.76099e6 3.05012e6i −0.517364 0.896101i
\(411\) 32832.9 45886.8i 0.00958748 0.0133993i
\(412\) 1.09777e6 1.90139e6i 0.318615 0.551858i
\(413\) 621271. 0.179228
\(414\) 2.19651e6 + 433680.i 0.629842 + 0.124357i
\(415\) 2.38528e6 0.679860
\(416\) −528678. + 915697.i −0.149781 + 0.259429i
\(417\) −778894. 1.71582e6i −0.219350 0.483206i
\(418\) −358304. 620601.i −0.100302 0.173729i
\(419\) −2.20697e6 3.82259e6i −0.614132 1.06371i −0.990536 0.137252i \(-0.956173\pi\)
0.376404 0.926456i \(-0.377161\pi\)
\(420\) 778014. + 1.71388e6i 0.215211 + 0.474087i
\(421\) 872253. 1.51079e6i 0.239848 0.415430i −0.720822 0.693120i \(-0.756236\pi\)
0.960671 + 0.277690i \(0.0895689\pi\)
\(422\) −192393. −0.0525907
\(423\) −399074. + 456359.i −0.108443 + 0.124010i
\(424\) −642829. −0.173652
\(425\) −595777. + 1.03192e6i −0.159997 + 0.277122i
\(426\) 35195.7 49189.0i 0.00939648 0.0131324i
\(427\) −1.95202e6 3.38099e6i −0.518100 0.897376i
\(428\) 1.34383e6 + 2.32759e6i 0.354598 + 0.614181i
\(429\) −6.17765e6 604030.i −1.62061 0.158458i
\(430\) −279228. + 483637.i −0.0728262 + 0.126139i
\(431\) −2.21740e6 −0.574976 −0.287488 0.957784i \(-0.592820\pi\)
−0.287488 + 0.957784i \(0.592820\pi\)
\(432\) −706359. + 664399.i −0.182103 + 0.171285i
\(433\) −3.63511e6 −0.931746 −0.465873 0.884851i \(-0.654260\pi\)
−0.465873 + 0.884851i \(0.654260\pi\)
\(434\) −1.77293e6 + 3.07081e6i −0.451823 + 0.782580i
\(435\) −7.27787e6 711606.i −1.84409 0.180309i
\(436\) 169792. + 294088.i 0.0427761 + 0.0740903i
\(437\) 535054. + 926741.i 0.134028 + 0.232143i
\(438\) 2.62696e6 3.67140e6i 0.654287 0.914423i
\(439\) 1.54413e6 2.67452e6i 0.382405 0.662345i −0.609001 0.793170i \(-0.708429\pi\)
0.991405 + 0.130825i \(0.0417626\pi\)
\(440\) 1.63102e6 0.401632
\(441\) 295510. + 866512.i 0.0723562 + 0.212167i
\(442\) 3.96104e6 0.964391
\(443\) 3.50048e6 6.06302e6i 0.847459 1.46784i −0.0360092 0.999351i \(-0.511465\pi\)
0.883468 0.468491i \(-0.155202\pi\)
\(444\) −960607. 2.11612e6i −0.231253 0.509427i
\(445\) 1.40838e6 + 2.43939e6i 0.337148 + 0.583958i
\(446\) −1.56795e6 2.71577e6i −0.373247 0.646482i
\(447\) −482080. 1.06197e6i −0.114117 0.251388i
\(448\) −233862. + 405061.i −0.0550509 + 0.0953510i
\(449\) −5.00196e6 −1.17091 −0.585456 0.810704i \(-0.699084\pi\)
−0.585456 + 0.810704i \(0.699084\pi\)
\(450\) −389815. 1.14304e6i −0.0907459 0.266091i
\(451\) 5.13778e6 1.18942
\(452\) 230733. 399641.i 0.0531206 0.0920076i
\(453\) 3.26511e6 4.56328e6i 0.747572 1.04480i
\(454\) 1.11159e6 + 1.92534e6i 0.253108 + 0.438396i
\(455\) 3.89615e6 + 6.74833e6i 0.882282 + 1.52816i
\(456\) −461290. 45103.4i −0.103887 0.0101577i
\(457\) −1.78581e6 + 3.09311e6i −0.399985 + 0.692795i −0.993724 0.111863i \(-0.964318\pi\)
0.593738 + 0.804658i \(0.297651\pi\)
\(458\) 458770. 0.102195
\(459\) 3.47857e6 + 1.04715e6i 0.770671 + 0.231994i
\(460\) −2.43560e6 −0.536674
\(461\) −2.75061e6 + 4.76420e6i −0.602805 + 1.04409i 0.389589 + 0.920989i \(0.372617\pi\)
−0.992394 + 0.123100i \(0.960716\pi\)
\(462\) −2.73270e6 267194.i −0.595643 0.0582400i
\(463\) 1.42708e6 + 2.47177e6i 0.309382 + 0.535866i 0.978227 0.207536i \(-0.0665444\pi\)
−0.668845 + 0.743402i \(0.733211\pi\)
\(464\) −908578. 1.57370e6i −0.195915 0.339334i
\(465\) 4.65373e6 6.50399e6i 0.998087 1.39491i
\(466\) 222355. 385130.i 0.0474331 0.0821566i
\(467\) −7.16552e6 −1.52039 −0.760196 0.649694i \(-0.774897\pi\)
−0.760196 + 0.649694i \(0.774897\pi\)
\(468\) −2.64277e6 + 3.02212e6i −0.557756 + 0.637818i
\(469\) 6.11892e6 1.28452
\(470\) 329747. 571139.i 0.0688551 0.119261i
\(471\) −309074. 680857.i −0.0641962 0.141418i
\(472\) −174101. 301552.i −0.0359705 0.0623027i
\(473\) −407332. 705520.i −0.0837136 0.144996i
\(474\) −829866. 1.82811e6i −0.169653 0.373729i
\(475\) 288611. 499889.i 0.0586920 0.101658i
\(476\) 1.75217e6 0.354454
\(477\) −2.39452e6 472775.i −0.481861 0.0951391i
\(478\) −2.95619e6 −0.591782
\(479\) −1.64185e6 + 2.84377e6i −0.326961 + 0.566312i −0.981907 0.189363i \(-0.939358\pi\)
0.654947 + 0.755675i \(0.272691\pi\)
\(480\) 613858. 857920.i 0.121609 0.169959i
\(481\) −4.81054e6 8.33210e6i −0.948050 1.64207i
\(482\) 2.58072e6 + 4.46994e6i 0.505968 + 0.876363i
\(483\) 4.08072e6 + 398999.i 0.795920 + 0.0778224i
\(484\) 98757.6 171053.i 0.0191627 0.0331908i
\(485\) 2.89816e6 0.559459
\(486\) −3.11980e6 + 1.95536e6i −0.599151 + 0.375523i
\(487\) 2.18097e6 0.416704 0.208352 0.978054i \(-0.433190\pi\)
0.208352 + 0.978054i \(0.433190\pi\)
\(488\) −1.09404e6 + 1.89494e6i −0.207962 + 0.360201i
\(489\) 5.60171e6 + 547716.i 1.05937 + 0.103582i
\(490\) −497972. 862512.i −0.0936946 0.162284i
\(491\) 4.96974e6 + 8.60785e6i 0.930315 + 1.61135i 0.782782 + 0.622297i \(0.213800\pi\)
0.147534 + 0.989057i \(0.452866\pi\)
\(492\) 1.93368e6 2.70248e6i 0.360140 0.503327i
\(493\) −3.40369e6 + 5.89536e6i −0.630714 + 1.09243i
\(494\) −1.91884e6 −0.353770
\(495\) 6.07550e6 + 1.19955e6i 1.11447 + 0.220042i
\(496\) 1.98734e6 0.362718
\(497\) 55382.9 95926.0i 0.0100574 0.0174199i
\(498\) 930267. + 2.04928e6i 0.168087 + 0.370279i
\(499\) 2.26386e6 + 3.92112e6i 0.407004 + 0.704951i 0.994552 0.104238i \(-0.0332403\pi\)
−0.587549 + 0.809189i \(0.699907\pi\)
\(500\) −995284. 1.72388e6i −0.178042 0.308377i
\(501\) −750453. 1.65317e6i −0.133576 0.294255i
\(502\) −2.58765e6 + 4.48194e6i −0.458297 + 0.793793i
\(503\) −4.40282e6 −0.775909 −0.387955 0.921679i \(-0.626818\pi\)
−0.387955 + 0.921679i \(0.626818\pi\)
\(504\) −1.16903e6 + 1.33684e6i −0.204998 + 0.234425i
\(505\) −1.59357e6 −0.278063
\(506\) 1.77650e6 3.07699e6i 0.308453 0.534256i
\(507\) −6.30356e6 + 8.80977e6i −1.08910 + 1.52211i
\(508\) 1.72049e6 + 2.97998e6i 0.295797 + 0.512335i
\(509\) −2.91063e6 5.04135e6i −0.497957 0.862487i 0.502040 0.864844i \(-0.332583\pi\)
−0.999997 + 0.00235703i \(0.999250\pi\)
\(510\) −3.93314e6 384570.i −0.669598 0.0654711i
\(511\) 4.13371e6 7.15979e6i 0.700306 1.21296i
\(512\) 262144. 0.0441942
\(513\) −1.68512e6 507269.i −0.282707 0.0851030i
\(514\) 2.49745e6 0.416954
\(515\) −4.53424e6 + 7.85354e6i −0.753333 + 1.30481i
\(516\) −524410. 51275.1i −0.0867055 0.00847778i
\(517\) 481028. + 833166.i 0.0791488 + 0.137090i
\(518\) −2.12795e6 3.68572e6i −0.348448 0.603529i
\(519\) −939078. + 1.31244e6i −0.153032 + 0.213876i
\(520\) 2.18367e6 3.78222e6i 0.354142 0.613393i
\(521\) 1.09649e7 1.76975 0.884875 0.465829i \(-0.154244\pi\)
0.884875 + 0.465829i \(0.154244\pi\)
\(522\) −2.22702e6 6.53021e6i −0.357724 1.04894i
\(523\) −3.83705e6 −0.613399 −0.306700 0.951806i \(-0.599225\pi\)
−0.306700 + 0.951806i \(0.599225\pi\)
\(524\) 1.51447e6 2.62315e6i 0.240954 0.417344i
\(525\) −914194. 2.01387e6i −0.144757 0.318885i
\(526\) 2.32998e6 + 4.03564e6i 0.367187 + 0.635987i
\(527\) −3.72246e6 6.44750e6i −0.583854 1.01126i
\(528\) 636103. + 1.40127e6i 0.0992985 + 0.218744i
\(529\) 565332. 979183.i 0.0878343 0.152133i
\(530\) 2.65516e6 0.410583
\(531\) −426741. 1.25131e6i −0.0656792 0.192588i
\(532\) −848803. −0.130025
\(533\) 6.87864e6 1.19141e7i 1.04878 1.81654i
\(534\) −1.54650e6 + 2.16136e6i −0.234691 + 0.328000i
\(535\) −5.55060e6 9.61392e6i −0.838408 1.45217i
\(536\) −1.71473e6 2.96999e6i −0.257800 0.446523i
\(537\) −1.22473e6 119750.i −0.183276 0.0179201i
\(538\) −3.17903e6 + 5.50623e6i −0.473520 + 0.820161i
\(539\) 1.45286e6 0.215403
\(540\) 2.91757e6 2.74425e6i 0.430563 0.404986i
\(541\) −4.88767e6 −0.717974 −0.358987 0.933343i \(-0.616878\pi\)
−0.358987 + 0.933343i \(0.616878\pi\)
\(542\) 1.95576e6 3.38747e6i 0.285967 0.495310i
\(543\) 9.09315e6 + 889098.i 1.32347 + 0.129405i
\(544\) −491018. 850469.i −0.0711378 0.123214i
\(545\) −701313. 1.21471e6i −0.101139 0.175179i
\(546\) −4.27823e6 + 5.97920e6i −0.614161 + 0.858344i
\(547\) 3.46672e6 6.00454e6i 0.495394 0.858047i −0.504592 0.863358i \(-0.668357\pi\)
0.999986 + 0.00531061i \(0.00169043\pi\)
\(548\) −57913.0 −0.00823805
\(549\) −5.46892e6 + 6.25395e6i −0.774410 + 0.885571i
\(550\) −1.91651e6 −0.270149
\(551\) 1.64884e6 2.85588e6i 0.231366 0.400739i
\(552\) −949890. 2.09251e6i −0.132686 0.292294i
\(553\) −1.83834e6 3.18409e6i −0.255630 0.442764i
\(554\) 2.58097e6 + 4.47038e6i 0.357280 + 0.618828i
\(555\) 3.96772e6 + 8.74047e6i 0.546774 + 1.20449i
\(556\) −967042. + 1.67497e6i −0.132666 + 0.229784i
\(557\) −9.83771e6 −1.34356 −0.671778 0.740752i \(-0.734469\pi\)
−0.671778 + 0.740752i \(0.734469\pi\)
\(558\) 7.40278e6 + 1.46161e6i 1.00649 + 0.198722i
\(559\) −2.18140e6 −0.295261
\(560\) 965950. 1.67307e6i 0.130162 0.225447i
\(561\) 3.35464e6 4.68840e6i 0.450027 0.628951i
\(562\) −3.33465e6 5.77578e6i −0.445358 0.771383i
\(563\) −1.36609e6 2.36613e6i −0.181638 0.314607i 0.760800 0.648986i \(-0.224807\pi\)
−0.942439 + 0.334379i \(0.891473\pi\)
\(564\) 619289. + 60552.0i 0.0819776 + 0.00801550i
\(565\) −953024. + 1.65069e6i −0.125598 + 0.217542i
\(566\) 4.51654e6 0.592605
\(567\) −5.33780e6 + 4.11990e6i −0.697276 + 0.538182i
\(568\) −62080.7 −0.00807394
\(569\) −4.71998e6 + 8.17525e6i −0.611167 + 1.05857i 0.379877 + 0.925037i \(0.375966\pi\)
−0.991044 + 0.133535i \(0.957367\pi\)
\(570\) 1.90533e6 + 186296.i 0.245630 + 0.0240169i
\(571\) 6.33948e6 + 1.09803e7i 0.813698 + 1.40937i 0.910259 + 0.414039i \(0.135882\pi\)
−0.0965611 + 0.995327i \(0.530784\pi\)
\(572\) 3.18549e6 + 5.51743e6i 0.407086 + 0.705093i
\(573\) −7.00326e6 + 9.78766e6i −0.891073 + 1.24535i
\(574\) 3.04278e6 5.27025e6i 0.385470 0.667654i
\(575\) 2.86191e6 0.360983
\(576\) 976477. + 192797.i 0.122633 + 0.0242127i
\(577\) −1.51657e7 −1.89637 −0.948187 0.317712i \(-0.897086\pi\)
−0.948187 + 0.317712i \(0.897086\pi\)
\(578\) 1.00028e6 1.73253e6i 0.124537 0.215705i
\(579\) 112371. + 247541.i 0.0139302 + 0.0306867i
\(580\) 3.75282e6 + 6.50007e6i 0.463220 + 0.802320i
\(581\) 2.06075e6 + 3.56932e6i 0.253270 + 0.438677i
\(582\) 1.13029e6 + 2.48992e6i 0.138320 + 0.304704i
\(583\) −1.93665e6 + 3.35437e6i −0.235982 + 0.408733i
\(584\) −4.63362e6 −0.562197
\(585\) 1.09158e7 1.24826e7i 1.31875 1.50805i
\(586\) 8.22522e6 0.989472
\(587\) −911702. + 1.57911e6i −0.109209 + 0.189155i −0.915450 0.402432i \(-0.868165\pi\)
0.806241 + 0.591587i \(0.201498\pi\)
\(588\) 546806. 764208.i 0.0652213 0.0911525i
\(589\) 1.80327e6 + 3.12335e6i 0.214176 + 0.370965i
\(590\) 719112. + 1.24554e6i 0.0850485 + 0.147308i
\(591\) 5.28623e6 + 516870.i 0.622555 + 0.0608713i
\(592\) −1.19265e6 + 2.06573e6i −0.139865 + 0.242253i
\(593\) 1.27957e7 1.49427 0.747133 0.664674i \(-0.231430\pi\)
0.747133 + 0.664674i \(0.231430\pi\)
\(594\) 1.33888e6 + 5.68751e6i 0.155696 + 0.661387i
\(595\) −7.23723e6 −0.838069
\(596\) −598531. + 1.03669e6i −0.0690193 + 0.119545i
\(597\) 220922. + 21601.0i 0.0253689 + 0.00248049i
\(598\) −4.75688e6 8.23915e6i −0.543962 0.942171i
\(599\) −4.38212e6 7.59006e6i −0.499020 0.864327i 0.500980 0.865459i \(-0.332973\pi\)
−0.999999 + 0.00113166i \(0.999640\pi\)
\(600\) −721305. + 1.00809e6i −0.0817976 + 0.114319i
\(601\) −834793. + 1.44590e6i −0.0942741 + 0.163288i −0.909305 0.416129i \(-0.863386\pi\)
0.815031 + 0.579417i \(0.196720\pi\)
\(602\) −964947. −0.108521
\(603\) −4.20298e6 1.23242e7i −0.470722 1.38028i
\(604\) −5.75924e6 −0.642352
\(605\) −407911. + 706523.i −0.0453082 + 0.0784762i
\(606\) −621499. 1.36910e6i −0.0687478 0.151444i
\(607\) 5.08535e6 + 8.80809e6i 0.560208 + 0.970308i 0.997478 + 0.0709782i \(0.0226121\pi\)
−0.437270 + 0.899330i \(0.644055\pi\)
\(608\) 237863. + 411991.i 0.0260957 + 0.0451990i
\(609\) −5.22282e6 1.15053e7i −0.570639 1.25706i
\(610\) 4.51886e6 7.82690e6i 0.491705 0.851658i
\(611\) 2.57607e6 0.279161
\(612\) −1.20354e6 3.52909e6i −0.129892 0.380876i
\(613\) 1.37829e7 1.48146 0.740730 0.671803i \(-0.234480\pi\)
0.740730 + 0.671803i \(0.234480\pi\)
\(614\) −3.04298e6 + 5.27059e6i −0.325745 + 0.564207i
\(615\) −7.98691e6 + 1.11624e7i −0.851513 + 1.19006i
\(616\) 1.40911e6 + 2.44065e6i 0.149621 + 0.259151i
\(617\) 6.05409e6 + 1.04860e7i 0.640230 + 1.10891i 0.985381 + 0.170363i \(0.0544942\pi\)
−0.345152 + 0.938547i \(0.612173\pi\)
\(618\) −8.51563e6 832630.i −0.896903 0.0876962i
\(619\) 8.48665e6 1.46993e7i 0.890245 1.54195i 0.0506641 0.998716i \(-0.483866\pi\)
0.839581 0.543234i \(-0.182800\pi\)
\(620\) −8.20857e6 −0.857607
\(621\) −1.99935e6 8.49313e6i −0.208046 0.883769i
\(622\) −1.08336e7 −1.12278
\(623\) −2.43352e6 + 4.21498e6i −0.251197 + 0.435087i
\(624\) 4.10108e6 + 400990.i 0.421635 + 0.0412261i
\(625\) 6.05231e6 + 1.04829e7i 0.619756 + 1.07345i
\(626\) 1.30233e6 + 2.25570e6i 0.132827 + 0.230063i
\(627\) −1.62508e6 + 2.27119e6i −0.165084 + 0.230720i
\(628\) −383733. + 664645.i −0.0388266 + 0.0672497i
\(629\) 8.93574e6 0.900541
\(630\) 4.82861e6 5.52172e6i 0.484697 0.554272i
\(631\) 7.90092e6 0.789958 0.394979 0.918690i \(-0.370752\pi\)
0.394979 + 0.918690i \(0.370752\pi\)
\(632\) −1.03033e6 + 1.78458e6i −0.102608 + 0.177723i
\(633\) 309923. + 682728.i 0.0307428 + 0.0677233i
\(634\) 232221. + 402219.i 0.0229445 + 0.0397411i
\(635\) −7.10637e6 1.23086e7i −0.699381 1.21136i
\(636\) 1.03552e6 + 2.28114e6i 0.101512 + 0.223620i
\(637\) 1.94514e6 3.36908e6i 0.189934 0.328975i
\(638\) −1.09491e7 −1.06494
\(639\) −231248. 45657.9i −0.0224040 0.00442347i
\(640\) −1.08277e6 −0.104492
\(641\) −5.33807e6 + 9.24581e6i −0.513144 + 0.888792i 0.486740 + 0.873547i \(0.338186\pi\)
−0.999884 + 0.0152446i \(0.995147\pi\)
\(642\) 6.09492e6 8.51818e6i 0.583621 0.815661i
\(643\) −4.68885e6 8.12132e6i −0.447238 0.774639i 0.550967 0.834527i \(-0.314259\pi\)
−0.998205 + 0.0598882i \(0.980926\pi\)
\(644\) −2.10421e6 3.64461e6i −0.199929 0.346287i
\(645\) 2.16604e6 + 211788.i 0.205006 + 0.0200448i
\(646\) 891076. 1.54339e6i 0.0840105 0.145510i
\(647\) −9.44013e6 −0.886579 −0.443289 0.896379i \(-0.646189\pi\)
−0.443289 + 0.896379i \(0.646189\pi\)
\(648\) 3.49555e6 + 1.43632e6i 0.327023 + 0.134374i
\(649\) −2.09805e6 −0.195526
\(650\) −2.56588e6 + 4.44424e6i −0.238207 + 0.412586i
\(651\) 1.37531e7 + 1.34473e6i 1.27188 + 0.124360i
\(652\) −2.88851e6 5.00304e6i −0.266106 0.460909i
\(653\) −7.44455e6 1.28943e7i −0.683212 1.18336i −0.973995 0.226569i \(-0.927249\pi\)
0.290783 0.956789i \(-0.406084\pi\)
\(654\) 770087. 1.07626e6i 0.0704037 0.0983953i
\(655\) −6.25543e6 + 1.08347e7i −0.569710 + 0.986766i
\(656\) −3.41076e6 −0.309451
\(657\) −1.72601e7 3.40784e6i −1.56002 0.308011i
\(658\) 1.13953e6 0.102603
\(659\) 3.82391e6 6.62320e6i 0.343000 0.594093i −0.641989 0.766714i \(-0.721890\pi\)
0.984988 + 0.172621i \(0.0552237\pi\)
\(660\) −2.62738e6 5.78784e6i −0.234781 0.517198i
\(661\) 2.50269e6 + 4.33479e6i 0.222794 + 0.385891i 0.955655 0.294487i \(-0.0951489\pi\)
−0.732861 + 0.680378i \(0.761816\pi\)
\(662\) −635313. 1.10039e6i −0.0563434 0.0975896i
\(663\) −6.38075e6 1.40561e7i −0.563752 1.24189i
\(664\) 1.15498e6 2.00049e6i 0.101661 0.176082i
\(665\) 3.50592e6 0.307431
\(666\) −5.96184e6 + 6.81762e6i −0.520828 + 0.595590i
\(667\) 1.63502e7 1.42301
\(668\) −931732. + 1.61381e6i −0.0807885 + 0.139930i
\(669\) −7.11142e6 + 9.93882e6i −0.614315 + 0.858558i
\(670\) 7.08255e6 + 1.22673e7i 0.609541 + 1.05576i
\(671\) 6.59202e6 + 1.14177e7i 0.565214 + 0.978979i
\(672\) 1.81412e6 + 177379.i 0.154968 + 0.0151523i
\(673\) −1.07220e6 + 1.85710e6i −0.0912511 + 0.158051i −0.908038 0.418888i \(-0.862420\pi\)
0.816787 + 0.576940i \(0.195753\pi\)
\(674\) 1.72220e6 0.146027
\(675\) −3.42824e6 + 3.22459e6i −0.289609 + 0.272405i
\(676\) 1.11187e7 0.935807
\(677\) 4.75463e6 8.23526e6i 0.398699 0.690567i −0.594867 0.803824i \(-0.702795\pi\)
0.993566 + 0.113257i \(0.0361285\pi\)
\(678\) −1.78985e6 175005.i −0.149535 0.0146210i
\(679\) 2.50385e6 + 4.33679e6i 0.208417 + 0.360989i
\(680\) 2.02812e6 + 3.51280e6i 0.168198 + 0.291327i
\(681\) 5.04161e6 7.04608e6i 0.416583 0.582210i
\(682\) 5.98725e6 1.03702e7i 0.492909 0.853743i
\(683\) −5.47266e6 −0.448897 −0.224449 0.974486i \(-0.572058\pi\)
−0.224449 + 0.974486i \(0.572058\pi\)
\(684\) 583029. + 1.70959e6i 0.0476485 + 0.139718i
\(685\) 239205. 0.0194780
\(686\) 4.69883e6 8.13862e6i 0.381224 0.660299i
\(687\) −739023. 1.62799e6i −0.0597401 0.131601i
\(688\) 270411. + 468365.i 0.0217798 + 0.0377236i
\(689\) 5.18570e6 + 8.98189e6i 0.416159 + 0.720808i
\(690\) 3.92345e6 + 8.64296e6i 0.313722 + 0.691098i
\(691\) −3.44084e6 + 5.95970e6i −0.274138 + 0.474821i −0.969917 0.243435i \(-0.921726\pi\)
0.695779 + 0.718255i \(0.255059\pi\)
\(692\) 1.65641e6 0.131493
\(693\) 3.45388e6 + 1.01277e7i 0.273196 + 0.801080i
\(694\) −1.65616e7 −1.30528
\(695\) 3.99430e6 6.91832e6i 0.313674 0.543299i
\(696\) −4.12084e6 + 5.75923e6i −0.322450 + 0.450652i
\(697\) 6.38864e6 + 1.10655e7i 0.498112 + 0.862755i
\(698\) 6.92191e6 + 1.19891e7i 0.537758 + 0.931425i
\(699\) −1.72486e6 168651.i −0.133524 0.0130556i
\(700\) −1.13502e6 + 1.96592e6i −0.0875508 + 0.151642i
\(701\) 5.19615e6 0.399380 0.199690 0.979859i \(-0.436006\pi\)
0.199690 + 0.979859i \(0.436006\pi\)
\(702\) 1.49815e7 + 4.50986e6i 1.14739 + 0.345398i
\(703\) −4.32872e6 −0.330348
\(704\) 789759. 1.36790e6i 0.0600569 0.104022i
\(705\) −2.55793e6 250106.i −0.193827 0.0189518i
\(706\) −5.28914e6 9.16106e6i −0.399368 0.691726i
\(707\) −1.37676e6 2.38461e6i −0.103588 0.179419i
\(708\) −789632. + 1.10358e6i −0.0592027 + 0.0827409i
\(709\) −287410. + 497809.i −0.0214727 + 0.0371918i −0.876562 0.481289i \(-0.840169\pi\)
0.855089 + 0.518481i \(0.173502\pi\)
\(710\) 256420. 0.0190900
\(711\) −5.15042e6 + 5.88973e6i −0.382093 + 0.436939i
\(712\) 2.72782e6 0.201658
\(713\) −8.94074e6 + 1.54858e7i −0.658642 + 1.14080i
\(714\) −2.82254e6 6.21777e6i −0.207202 0.456445i
\(715\) −1.31574e7 2.27893e7i −0.962511 1.66712i
\(716\) 631529. + 1.09384e6i 0.0460374 + 0.0797391i
\(717\) 4.76206e6 + 1.04903e7i 0.345937 + 0.762063i
\(718\) −4.26247e6 + 7.38281e6i −0.308567 + 0.534455i
\(719\) −400906. −0.0289215 −0.0144607 0.999895i \(-0.504603\pi\)
−0.0144607 + 0.999895i \(0.504603\pi\)
\(720\) −4.03327e6 796332.i −0.289952 0.0572483i
\(721\) −1.56693e7 −1.12256
\(722\) 4.52054e6 7.82980e6i 0.322736 0.558994i
\(723\) 1.17048e7 1.63585e7i 0.832757 1.16385i
\(724\) −4.68886e6 8.12134e6i −0.332446 0.575813i
\(725\) −4.40969e6 7.63781e6i −0.311575 0.539664i
\(726\) −766086. 74905.4i −0.0539431 0.00527438i
\(727\) −5.27154e6 + 9.13058e6i −0.369915 + 0.640711i −0.989552 0.144177i \(-0.953946\pi\)
0.619637 + 0.784889i \(0.287280\pi\)
\(728\) 7.54624e6 0.527719
\(729\) 1.19644e7 + 7.92108e6i 0.833822 + 0.552034i
\(730\) 1.91388e7 1.32925
\(731\) 1.01301e6 1.75458e6i 0.0701162 0.121445i
\(732\) 8.48675e6 + 829806.i 0.585414 + 0.0572399i
\(733\) −6.96868e6 1.20701e7i −0.479061 0.829758i 0.520651 0.853770i \(-0.325689\pi\)
−0.999712 + 0.0240119i \(0.992356\pi\)
\(734\) 2.56014e6 + 4.43429e6i 0.175397 + 0.303797i
\(735\) −2.25854e6 + 3.15651e6i −0.154209 + 0.215520i
\(736\) −1.17934e6 + 2.04268e6i −0.0802502 + 0.138997i
\(737\) −2.06638e7 −1.40133
\(738\) −1.27050e7 2.50848e6i −0.858681 0.169539i
\(739\) −9.88034e6 −0.665519 −0.332760 0.943012i \(-0.607980\pi\)
−0.332760 + 0.943012i \(0.607980\pi\)
\(740\) 4.92615e6 8.53234e6i 0.330695 0.572781i
\(741\) 3.09102e6 + 6.80919e6i 0.206803 + 0.455565i
\(742\) 2.29390e6 + 3.97316e6i 0.152956 + 0.264927i
\(743\) 4.66695e6 + 8.08339e6i 0.310142 + 0.537182i 0.978393 0.206754i \(-0.0662899\pi\)
−0.668251 + 0.743936i \(0.732957\pi\)
\(744\) −3.20137e6 7.05229e6i −0.212033 0.467087i
\(745\) 2.47219e6 4.28195e6i 0.163189 0.282652i
\(746\) −1.55787e7 −1.02490
\(747\) 5.77354e6 6.60230e6i 0.378565 0.432906i
\(748\) −5.91715e6 −0.386686
\(749\) 9.59080e6 1.66117e7i 0.624669 1.08196i
\(750\) −4.51409e6 + 6.30883e6i −0.293033 + 0.409539i
\(751\) −1.43761e7 2.49001e7i −0.930124 1.61102i −0.783106 0.621888i \(-0.786366\pi\)
−0.147018 0.989134i \(-0.546968\pi\)
\(752\) −319335. 553104.i −0.0205921 0.0356666i
\(753\) 2.00730e7 + 1.96267e6i 1.29011 + 0.126142i
\(754\) −1.46590e7 + 2.53901e7i −0.939021 + 1.62643i
\(755\) 2.37881e7 1.51877
\(756\) 6.62708e6 + 1.99494e6i 0.421714 + 0.126948i
\(757\) −4.94587e6 −0.313691 −0.156846 0.987623i \(-0.550133\pi\)
−0.156846 + 0.987623i \(0.550133\pi\)
\(758\) 5.66671e6 9.81503e6i 0.358227 0.620467i
\(759\) −1.37807e7 1.34743e6i −0.868296 0.0848991i
\(760\) −982476. 1.70170e6i −0.0617004 0.106868i
\(761\) −4.56829e6 7.91251e6i −0.285951 0.495282i 0.686888 0.726763i \(-0.258976\pi\)
−0.972839 + 0.231481i \(0.925643\pi\)
\(762\) 7.80326e6 1.09057e7i 0.486843 0.680405i
\(763\) 1.21179e6 2.09888e6i 0.0753555 0.130520i
\(764\) 1.23528e7 0.765656
\(765\) 4.97113e6 + 1.45766e7i 0.307115 + 0.900542i